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12131344735376 = 245914407891997
BaseRepresentation
bin1011000010001000110001…
…1111100101110010010000
31120221202010021100222120012
42300202030133211302100
53042224443223013001
641445021323334052
72361314013600116
oct260421437456220
946852107328505
1012131344735376
113957968926589
12143b176981328
1369cc9a063409
142dd2358d1ab6
1516086dd5e2bb
hexb088c7e5c90

12131344735376 has 40 divisors (see below), whose sum is σ = 23904547362240. Its totient is φ = 5962443790464.

The previous prime is 12131344735351. The next prime is 12131344735381. The reversal of 12131344735376 is 67353744313121.

It is a super-2 number, since 2×121313447353762 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13154210 + ... + 14046206.

It is an arithmetic number, because the mean of its divisors is an integer number (597613684056).

Almost surely, 212131344735376 is an apocalyptic number.

12131344735376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12131344735376 is a deficient number, since it is larger than the sum of its proper divisors (11773202626864).

12131344735376 is a wasteful number, since it uses less digits than its factorization.

12131344735376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906471 (or 906465 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 50.

The spelling of 12131344735376 in words is "twelve trillion, one hundred thirty-one billion, three hundred forty-four million, seven hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 59 118 236 472 944 14407 28814 57628 115256 230512 850013 891997 1700026 1783994 3400052 3567988 6800104 7135976 13600208 14271952 52627823 105255646 210511292 421022584 842045168 12851000779 25702001558 51404003116 102808006232 205616012464 758209045961 1516418091922 3032836183844 6065672367688 12131344735376