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12421071274032 = 2433223128934887
BaseRepresentation
bin1011010011000000000110…
…0010101000000000110000
31121222102221210222002202000
42310300001202220000300
53112001323221232112
642230054504454000
72421251503542231
oct264600142500060
947872853862660
1012421071274032
113a59823a10263
12148735377a300
136c13c06393c5
1430d27c449088
151681796447dc
hexb4c018a8030

12421071274032 has 80 divisors (see below), whose sum is σ = 35812954490880. Its totient is φ = 4121790435648.

The previous prime is 12421071274019. The next prime is 12421071274033. The reversal of 12421071274032 is 23047217012421.

12421071274032 is a `hidden beast` number, since 1 + 24 + 2 + 107 + 127 + 403 + 2 = 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 (12421071274033) 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 15 ways as a sum of consecutive naturals, for example, 64371108 + ... + 64563779.

It is an arithmetic number, because the mean of its divisors is an integer number (447661931136).

Almost surely, 212421071274032 is an apocalyptic number.

12421071274032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12421071274032 is an abundant number, since it is smaller than the sum of its proper divisors (23391883216848).

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

12421071274032 is a wasteful number, since it uses less digits than its factorization.

12421071274032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128935127 (or 128935115 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 12421071274032 its reverse (23047217012421), we get a palindrome (35468288286453).

The spelling of 12421071274032 in words is "twelve trillion, four hundred twenty-one billion, seventy-one million, two hundred seventy-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 223 432 446 669 892 1338 1784 2007 2676 3568 4014 5352 6021 8028 10704 12042 16056 24084 32112 48168 96336 128934887 257869774 386804661 515739548 773609322 1031479096 1160413983 1547218644 2062958192 2320827966 3094437288 3481241949 4641655932 6188874576 6962483898 9283311864 13924967796 18566623728 27849935592 28752479801 55699871184 57504959602 86257439403 115009919204 172514878806 230019838408 258772318209 345029757612 460039676816 517544636418 690059515224 776316954627 1035089272836 1380119030448 1552633909254 2070178545672 3105267818508 4140357091344 6210535637016 12421071274032