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120426694272 = 27361290581
BaseRepresentation
bin111000000100111111…
…1011000011010000000
3102111211202001221000000
41300021333120122000
53433113213204042
6131153454000000
711462200004013
oct1601177303200
9374752057000
10120426694272
1147088802915
121b40a7a6000
13b4827140a1
145b85c9937a
1531ec68d74c
hex1c09fd8680

120426694272 has 112 divisors (see below), whose sum is σ = 359704562130. Its totient is φ = 40142200320.

The previous prime is 120426694261. The next prime is 120426694303. The reversal of 120426694272 is 272496624021.

120426694272 is a `hidden beast` number, since 120 + 42 + 6 + 69 + 427 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112235720256 + 8190974016 = 335016^2 + 90504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 551979 + ... + 738602.

Almost surely, 2120426694272 is an apocalyptic number.

120426694272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120426694272 is an abundant number, since it is smaller than the sum of its proper divisors (239277867858).

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

120426694272 is an frugal number, since it uses more digits than its factorization.

120426694272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290613 (or 1290586 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 120426694272 in words is "one hundred twenty billion, four hundred twenty-six million, six hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 23328 31104 46656 93312 1290581 2581162 3871743 5162324 7743486 10324648 11615229 15486972 20649296 23230458 30973944 34845687 41298592 46460916 61947888 69691374 82597184 92921832 104537061 123895776 139382748 165194368 185843664 209074122 247791552 278765496 313611183 371687328 418148244 495583104 557530992 627222366 743374656 836296488 940833549 1115061984 1254444732 1486749312 1672592976 1881667098 2230123968 2508889464 3345185952 3763334196 4460247936 5017778928 6690371904 7526668392 10035557856 13380743808 15053336784 20071115712 30106673568 40142231424 60213347136 120426694272