12260310515712 has 1824 divisors, whose sum is σ = 46476155116800. Its totient is φ = 3174064717824.

The previous prime is 12260310515701. The next prime is 12260310515749. The reversal of 12260310515712 is 21751501306221.

12260310515712 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 0 + 31 + 0 + 51 + 571 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231326613478 + ... + 231326613530.

It is an arithmetic number, because the mean of its divisors is an integer number (25480348200).

Almost surely, 2^{12260310515712} is an apocalyptic number.

12260310515712 is a gapful number since it is divisible by the number (12) 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 12260310515712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23238077558400).

12260310515712 is an abundant number, since it is smaller than the sum of its proper divisors (34215844601088).

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

12260310515712 is an frugal number, since it uses more digits than its factorization.

12260310515712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 12260310515712 in words is "twelve trillion, two hundred sixty billion, three hundred ten million, five hundred fifteen thousand, seven hundred twelve".