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120812124832 = 2572211365159
BaseRepresentation
bin111000010000011110…
…1101011101010100000
3102112211121022211022221
41300200331223222200
53434410400443312
6131300023040424
711504560055200
oct1604075535240
9375747284287
10120812124832
1147266327573
121b4b78a0114
13b514523cc9
145bc114a400
153221425207
hex1c20f6baa0

120812124832 has 72 divisors (see below), whose sum is σ = 277993386720. Its totient is φ = 51531096960.

The previous prime is 120812124781. The next prime is 120812124871. The reversal of 120812124832 is 238421218021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148269 + ... + 513427.

It is an arithmetic number, because the mean of its divisors is an integer number (3861019260).

Almost surely, 2120812124832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120812124832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138996693360).

120812124832 is an abundant number, since it is smaller than the sum of its proper divisors (157181261888).

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

120812124832 is a wasteful number, since it uses less digits than its factorization.

120812124832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365394 (or 365379 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 120812124832 in words is "one hundred twenty billion, eight hundred twelve million, one hundred twenty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 211 224 392 422 784 844 1477 1568 1688 2954 3376 5908 6752 10339 11816 20678 23632 41356 47264 82712 165424 330848 365159 730318 1460636 2556113 2921272 5112226 5842544 10224452 11685088 17892791 20448904 35785582 40897808 71571164 77048549 81795616 143142328 154097098 286284656 308194196 539339843 572569312 616388392 1078679686 1232776784 2157359372 2465553568 3775378901 4314718744 7550757802 8629437488 15101515604 17258874976 30203031208 60406062416 120812124832