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122135697852 = 223729463108289
BaseRepresentation
bin111000110111111011…
…0101101100110111100
3102200020211212022011220
41301233312231212330
54000113214312402
6132035223513340
711552431205520
oct1615766554674
9380224768156
10122135697852
1147885465573
121b806bb8850
13b6957c37cc
145ca8c45d80
15329c71edbc
hex1c6fdad9bc

122135697852 has 96 divisors (see below), whose sum is σ = 337656883200. Its totient is φ = 33619525632.

The previous prime is 122135697833. The next prime is 122135697877. The reversal of 122135697852 is 258796531221.

It is a junction number, because it is equal to n+sod(n) for n = 122135697795 and 122135697804.

It is a congruent number.

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, 1073724 + ... + 1182012.

It is an arithmetic number, because the mean of its divisors is an integer number (3517259200).

Almost surely, 2122135697852 is an apocalyptic number.

122135697852 is a gapful number since it is divisible by the number (12) 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 122135697852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168828441600).

122135697852 is an abundant number, since it is smaller than the sum of its proper divisors (215521185348).

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

122135697852 is a wasteful number, since it uses less digits than its factorization.

122135697852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108795 (or 108793 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The spelling of 122135697852 in words is "one hundred twenty-two billion, one hundred thirty-five million, six hundred ninety-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 463 609 812 926 1218 1389 1852 2436 2778 3241 5556 6482 9723 12964 13427 19446 26854 38892 40281 53708 80562 93989 108289 161124 187978 216578 281967 324867 375956 433156 563934 649734 758023 1127868 1299468 1516046 2274069 3032092 3140381 4548138 6280762 9096276 9421143 12561524 18842286 21982667 37684572 43965334 50137807 65948001 87930668 100275614 131896002 150413421 200551228 263792004 300826842 350964649 601653684 701929298 1052893947 1403858596 1453996403 2105787894 2907992806 4211575788 4361989209 5815985612 8723978418 10177974821 17447956836 20355949642 30533924463 40711899284 61067848926 122135697852