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122136351380 = 225195320892903
BaseRepresentation
bin111000110111111100…
…1001101001010010100
3102200020220002111122122
41301233321031022110
54000113401221010
6132035245515112
711552436600041
oct1615771151224
9380226074578
10122136351380
114788587157a
121b807272a98
13b695992104
145ca8d761c8
15329c7ed855
hex1c6fe4d294

122136351380 has 96 divisors (see below), whose sum is σ = 275306169600. Its totient is φ = 45372607488.

The previous prime is 122136351377. The next prime is 122136351383. The reversal of 122136351380 is 83153631221.

It is an interprime number because it is at equal distance from previous prime (122136351377) and next prime (122136351383).

It is a self number, because there is not a number n which added to its sum of digits gives 122136351380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122136351383) 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, 42071009 + ... + 42073911.

It is an arithmetic number, because the mean of its divisors is an integer number (2867772600).

Almost surely, 2122136351380 is an apocalyptic number.

122136351380 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 122136351380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137653084800).

122136351380 is an abundant number, since it is smaller than the sum of its proper divisors (153169818220).

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

122136351380 is a wasteful number, since it uses less digits than its factorization.

122136351380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 122136351380 in words is "one hundred twenty-two billion, one hundred thirty-six million, three hundred fifty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 2014 2089 2903 4028 4178 5035 5806 8356 10070 10445 11612 14515 20140 20890 29030 39691 41780 55157 58060 79382 110314 110717 153859 158764 198455 220628 221434 275785 307718 396910 442868 551570 553585 615436 769295 793820 1103140 1107170 1538590 2103623 2214340 2923321 3077180 4207246 5846642 6064367 8414492 10518115 11693284 12128734 14616605 21036230 24257468 29233210 30321835 42072460 58466420 60643670 115222973 121287340 230445946 321411451 460891892 576114865 642822902 1152229730 1285645804 1607057255 2304459460 3214114510 6106817569 6428229020 12213635138 24427270276 30534087845 61068175690 122136351380