12291249874788 has 384 divisors, whose sum is σ = 33293572300800. Its totient is φ = 3919060454400.

The previous prime is 12291249874759. The next prime is 12291249874811. The reversal of 12291249874788 is 88747894219221.

12291249874788 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 12 + 498 + 7 + 47 + 88 = 666.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 25033095223 + ... + 25033095713.

It is an arithmetic number, because the mean of its divisors is an integer number (86702011200).

Almost surely, 2^{12291249874788} is an apocalyptic number.

12291249874788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12291249874788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16646786150400).

12291249874788 is an abundant number, since it is smaller than the sum of its proper divisors (21002322426012).

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

12291249874788 is a wasteful number, since it uses less digits than its factorization.

12291249874788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 12291249874788 in words is "twelve trillion, two hundred ninety-one billion, two hundred forty-nine million, eight hundred seventy-four thousand, seven hundred eighty-eight".