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100120000122120 = 233511273193277637
BaseRepresentation
bin10110110000111100000001…
…000010101100110100001000
3111010111101012221201100022010
4112300330001002230310020
5101110331230012401440
6552534254301455520
730042300636303546
oct2660740102546410
9433441187640263
10100120000122120
11299a0720a45020
12b28bb155715a0
1343b3377373a74
141aa1b9618ad96
15b8953e79b580
hex5b0f010acd08

100120000122120 has 128 divisors (see below), whose sum is σ = 327667834535040. Its totient is φ = 24271338915840.

The previous prime is 100120000122091. The next prime is 100120000122137. The reversal of 100120000122120 is 21221000021001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100120000122096 and 100120000122105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360475942 + ... + 360753578.

It is an arithmetic number, because the mean of its divisors is an integer number (2559904957305).

Almost surely, 2100120000122120 is an apocalyptic number.

100120000122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120000122120 is an abundant number, since it is smaller than the sum of its proper divisors (227547834412920).

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

100120000122120 is a wasteful number, since it uses less digits than its factorization.

100120000122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550855 (or 550851 counting only the distinct ones).

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

Adding to 100120000122120 its reverse (21221000021001), we get a palindrome (121341000143121).

The spelling of 100120000122120 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 273193 277637 546386 555274 819579 832911 1092772 1110548 1365965 1388185 1639158 1665822 2185544 2221096 2731930 2776370 3005123 3054007 3278316 3331644 4097895 4164555 5463860 5552740 6010246 6108014 6556632 6663288 8195790 8329110 9015369 9162021 10927720 11105480 12020492 12216028 15025615 15270035 16391580 16658220 18030738 18324042 24040984 24432056 30051230 30540070 32783160 33316440 36061476 36648084 45076845 45810105 60102460 61080140 72122952 73296168 90153690 91620210 120204920 122160280 180307380 183240420 360614760 366480840 75848484941 151696969882 227545454823 303393939764 379242424705 455090909646 606787879528 758484849410 834333334351 910181819292 1137727274115 1516969698820 1668666668702 1820363638584 2275454548230 2503000003053 3033939397640 3337333337404 4171666671755 4550909096460 5006000006106 6674666674808 8343333343510 9101818192920 10012000012212 12515000015265 16686666687020 20024000024424 25030000030530 33373333374040 50060000061060 100120000122120