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120004912 = 24193747227
BaseRepresentation
bin1110010011100…
…10000100110000
322100210212210101
413021302010300
5221210124122
615524042144
72655011356
oct711620460
9270725711
10120004912
1161815515
1234233354
131bb29231
1411d1b7d6
15a807027
hex7272130

120004912 has 80 divisors (see below), whose sum is σ = 257840640. Its totient is φ = 53892864.

The previous prime is 120004901. The next prime is 120004933. The reversal of 120004912 is 219400021.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 120004912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528543 + ... + 528769.

It is an arithmetic number, because the mean of its divisors is an integer number (3223008).

Almost surely, 2120004912 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 120004912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128920320).

120004912 is an abundant number, since it is smaller than the sum of its proper divisors (137835728).

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

120004912 is a wasteful number, since it uses less digits than its factorization.

120004912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 120004912 is about 10954.6753489093. The cubic root of 120004912 is about 493.2491447930.

Adding to 120004912 its reverse (219400021), we get a palindrome (339404933).

The spelling of 120004912 in words is "one hundred twenty million, four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 37 38 47 74 76 94 148 152 188 227 296 304 376 454 592 703 752 893 908 1406 1739 1786 1816 2812 3478 3572 3632 4313 5624 6956 7144 8399 8626 10669 11248 13912 14288 16798 17252 21338 27824 33041 33596 34504 42676 66082 67192 69008 85352 132164 134384 159581 170704 202711 264328 319162 394753 405422 528656 638324 789506 810844 1276648 1579012 1621688 2553296 3158024 3243376 6316048 7500307 15000614 30001228 60002456 120004912