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22012110102120 = 23351071787959339
BaseRepresentation
bin1010000000101000110000…
…00000001101111001101000
32212221100002210121021200120
411000110120000031321220
510341121300141231440
6114452120200403240
74431215415502065
oct500243000157150
985840083537616
1022012110102120
117017313330886
122576117176520
13c3896b74c5b8
1456156b1c9c6c
152828bb0d1dd0
hex14051800de68

22012110102120 has 128 divisors (see below), whose sum is σ = 66690860889600. Its totient is φ = 5811777049856.

The previous prime is 22012110102113. The next prime is 22012110102121. The reversal of 22012110102120 is 2120101121022.

It is a super-2 number, since 2×220121101021202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22012110102120.

It is not an unprimeable number, because it can be changed into a prime (22012110102121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22465411 + ... + 23424749.

It is an arithmetic number, because the mean of its divisors is an integer number (521022350700).

Almost surely, 222012110102120 is an apocalyptic number.

22012110102120 is a gapful number since it is divisible by the number (20) 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 22012110102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33345430444800).

22012110102120 is an abundant number, since it is smaller than the sum of its proper divisors (44678750787480).

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

22012110102120 is a wasteful number, since it uses less digits than its factorization.

22012110102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961247 (or 961243 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22012110102120 its reverse (2120101121022), we get a palindrome (24132211223142).

The spelling of 22012110102120 in words is "twenty-two trillion, twelve billion, one hundred ten million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 1787 2140 2568 3210 3574 4280 5361 6420 7148 8935 10722 12840 14296 17870 21444 26805 35740 42888 53610 71480 107220 191209 214440 382418 573627 764836 956045 959339 1147254 1529672 1912090 1918678 2294508 2868135 2878017 3824180 3837356 4589016 4796695 5736270 5756034 7648360 7674712 9593390 11472540 11512068 14390085 19186780 22945080 23024136 28780170 38373560 57560340 102649273 115120680 205298546 307947819 410597092 513246365 615895638 821194184 1026492730 1231791276 1539739095 1714338793 2052985460 2463582552 3079478190 3428677586 4105970920 5143016379 6158956380 6857355172 8571693965 10286032758 12317912760 13714710344 17143387930 20572065516 25715081895 34286775860 41144131032 51430163790 68573551720 102860327580 183434250851 205720655160 366868501702 550302752553 733737003404 917171254255 1100605505106 1467474006808 1834342508510 2201211010212 2751513762765 3668685017020 4402422020424 5503027525530 7337370034040 11006055051060 22012110102120