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100120000122012 = 22313761863977239
BaseRepresentation
bin10110110000111100000001…
…000010101100110010011100
3111010111101012221201100011010
4112300330001002230302130
5101110331230012401022
6552534254301455220
730042300636303333
oct2660740102546234
9433441187640133
10100120000122012
11299a0720a44a32
12b28bb15571510
1343b33773739c0
141aa1b9618ad1a
15b8953e79b50c
hex5b0f010acc9c

100120000122012 has 96 divisors (see below), whose sum is σ = 252206349373440. Its totient is φ = 30729991610880.

The previous prime is 100120000121983. The next prime is 100120000122017. The reversal of 100120000122012 is 210221000021001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120000122017) 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, 101963289 + ... + 102940527.

It is an arithmetic number, because the mean of its divisors is an integer number (2627149472640).

Almost surely, 2100120000122012 is an apocalyptic number.

100120000122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120000122012 is an abundant number, since it is smaller than the sum of its proper divisors (152086349251428).

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

100120000122012 is a wasteful number, since it uses less digits than its factorization.

100120000122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978883 (or 978881 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100120000122012 its reverse (210221000021001), we get a palindrome (310341000143013).

The spelling of 100120000122012 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 761 863 1522 1726 2283 2589 3044 3452 4566 5178 9132 9893 10356 11219 19786 22438 29679 33657 39572 44876 59358 67314 118716 134628 656743 977239 1313486 1954478 1970229 2626972 2931717 3908956 3940458 5863434 7880916 8537659 11726868 12704107 17075318 25408214 25612977 34150636 38112321 50816428 51225954 76224642 102451908 152449284 743678879 843357257 1487357758 1686714514 2231036637 2530071771 2974715516 3373429028 4462073274 5060143542 8924146548 9667825427 10120287084 10963644341 19335650854 21927288682 29003476281 32890933023 38671301708 43854577364 58006952562 65781866046 116013905124 131563732092 641794872577 1283589745154 1925384617731 2567179490308 3850769235462 7701538470924 8343333343501 16686666687002 25030000030503 33373333374004 50060000061006 100120000122012