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120122012220180 = 22352924315523293
BaseRepresentation
bin11011010100000000010101…
…110111100011101100010100
3120202022112220120022000121020
4123110000111313203230110
5111221034340112021210
61103251142434121140
734205346305015535
oct3324002567435424
9522275816260536
10120122012220180
1135302506362113
121158054aa201b0
1352045c3479669
142193d1773268c
15dd49b10d4770
hex6d4015de3b14

120122012220180 has 144 divisors (see below), whose sum is σ = 349147827834624. Its totient is φ = 30856202155520.

The previous prime is 120122012220179. The next prime is 120122012220181. The reversal of 120122012220180 is 81022210221021.

It is an interprime number because it is at equal distance from previous prime (120122012220179) and next prime (120122012220181).

It is a self number, because there is not a number n which added to its sum of digits gives 120122012220180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120122012220181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18986614 + ... + 24509906.

It is an arithmetic number, because the mean of its divisors is an integer number (2424637693296).

Almost surely, 2120122012220180 is an apocalyptic number.

120122012220180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120122012220180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174573913917312).

120122012220180 is an abundant number, since it is smaller than the sum of its proper divisors (229025815614444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120122012220180 is a wasteful number, since it uses less digits than its factorization.

120122012220180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523794 (or 5523763 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 120122012220180 in words is "one hundred twenty trillion, one hundred twenty-two billion, twelve million, two hundred twenty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 431 435 580 841 862 870 1293 1682 1724 1740 2155 2523 2586 3364 4205 4310 5046 5172 6465 8410 8620 10092 12499 12615 12930 16820 24998 25230 25860 37497 49996 50460 62495 74994 124990 149988 187485 249980 362471 374970 724942 749940 1087413 1449884 1812355 2174826 3624710 4349652 5437065 5523293 7249420 10874130 11046586 16569879 21748260 22093172 27616465 33139758 55232930 66279516 82849395 110465860 160175497 165698790 320350994 331397580 480526491 640701988 800877485 961052982 1601754970 1922105964 2380539283 2402632455 3203509940 4645089413 4761078566 4805264910 7141617849 9290178826 9522157132 9610529820 11902696415 13935268239 14283235698 18580357652 23225447065 23805392830 27870536478 28566471396 35708089245 46450894130 47610785660 55741072956 69035639207 69676341195 71416178490 92901788260 138071278414 139352682390 142832356980 207106917621 276142556828 278705364780 345178196035 414213835242 690356392070 828427670484 1035534588105 1380712784140 2002033537003 2071069176210 4004067074006 4142138352420 6006100611009 8008134148012 10010167685015 12012201222018 20020335370030 24024402444036 30030503055045 40040670740060 60061006110090 120122012220180