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12354881220 = 22325116239839
BaseRepresentation
bin10111000000110100…
…01000011011000100
31011220000212222212100
423200122020123010
5200300322144340
65401543552100
7615110520603
oct134032103304
934800788770
1012354881220
115270010140
12248975b630
13121b839706
14852bd9a3a
154c49c0830
hex2e06886c4

12354881220 has 72 divisors (see below), whose sum is σ = 40883431680. Its totient is φ = 2995122240.

The previous prime is 12354881213. The next prime is 12354881221. The reversal of 12354881220 is 2218845321.

It is a happy number.

12354881220 is a `hidden beast` number, since 1 + 2 + 354 + 8 + 81 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12354881221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3117940 + ... + 3121899.

It is an arithmetic number, because the mean of its divisors is an integer number (567825440).

Almost surely, 212354881220 is an apocalyptic number.

12354881220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12354881220 is an abundant number, since it is smaller than the sum of its proper divisors (28528550460).

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

12354881220 is a wasteful number, since it uses less digits than its factorization.

12354881220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239865 (or 6239860 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12354881220 in words is "twelve billion, three hundred fifty-four million, eight hundred eighty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6239839 12479678 18719517 24959356 31199195 37439034 56158551 62398390 68638229 74878068 93597585 112317102 124796780 137276458 187195170 205914687 224634204 274552916 280792755 343191145 374390340 411829374 561585510 617744061 686382290 823658748 1029573435 1123171020 1235488122 1372764580 2059146870 2470976244 3088720305 4118293740 6177440610 12354881220