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12291981699204 = 22351731731132909
BaseRepresentation
bin1011001011011111001100…
…1100111110100010000100
31121112002202100011020200000
42302313303030332202010
53102342434303333304
642050505231121300
72406031523343534
oct262676314764204
947462670136600
1012291981699204
113a0a000244029
121466327973230
136b218a26b4bc
14306d13c514c4
15164b216bb939
hexb2df333e884

12291981699204 has 576 divisors, whose sum is σ = 36028938516480. Its totient is φ = 3646961418240.

The previous prime is 12291981699181. The next prime is 12291981699209. The reversal of 12291981699204 is 40299618919221.

12291981699204 is a `hidden beast` number, since 1 + 2 + 291 + 9 + 81 + 69 + 9 + 204 = 666.

It is not an unprimeable number, because it can be changed into a prime (12291981699209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4225499302 + ... + 4225502210.

It is an arithmetic number, because the mean of its divisors is an integer number (62550240480).

Almost surely, 212291981699204 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 12291981699204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014469258240).

12291981699204 is an abundant number, since it is smaller than the sum of its proper divisors (23736956817276).

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

12291981699204 is a wasteful number, since it uses less digits than its factorization.

12291981699204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 12291981699204 in words is "twelve trillion, two hundred ninety-one billion, nine hundred eighty-one million, six hundred ninety-nine thousand, two hundred four".