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120132031122 = 23317552723677
BaseRepresentation
bin110111111100001101…
…1010101001010010010
3102111002012121111011000
41233320123111022102
53432012244443442
6131104330202430
711451661262535
oct1577033251222
9374065544130
10120132031122
1146a47444054
121b347b83416
13b4366644ac
145b58ab4a1c
1531d1885d4c
hex1bf86d5292

120132031122 has 64 divisors (see below), whose sum is σ = 282726685440. Its totient is φ = 37680069888.

The previous prime is 120132031073. The next prime is 120132031153. The reversal of 120132031122 is 221130231021.

120132031122 is a `hidden beast` number, since 12 + 0 + 1 + 320 + 311 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120132031095 and 120132031104.

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, 5061948 + ... + 5085624.

It is an arithmetic number, because the mean of its divisors is an integer number (4417604460).

Almost surely, 2120132031122 is an apocalyptic number.

120132031122 is an abundant number, since it is smaller than the sum of its proper divisors (162594654318).

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

120132031122 is a wasteful number, since it uses less digits than its factorization.

120132031122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29232 (or 29226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120132031122 its reverse (221130231021), we get a palindrome (341262262143).

The spelling of 120132031122 in words is "one hundred twenty billion, one hundred thirty-two million, thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 5527 11054 16581 23677 33162 47354 49743 71031 93959 99486 142062 149229 187918 213093 281877 298458 402509 426186 563754 639279 805018 845631 1207527 1278558 1691262 2415054 2536893 3622581 5073786 7245162 10867743 21735486 130862779 261725558 392588337 785176674 1177765011 2224667243 2355530022 3533295033 4449334486 6674001729 7066590066 13348003458 20022005187 40044010374 60066015561 120132031122