12563242692000 has 5184 divisors, whose sum is σ = 61483599410688. Its totient is φ = 2219728896000.

The previous prime is 12563242691947. The next prime is 12563242692019. The reversal of 12563242692000 is 29624236521.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

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 863 ways as a sum of consecutive naturals, for example, 267303035977 + ... + 267303036023.

It is an arithmetic number, because the mean of its divisors is an integer number (11860262232).

Almost surely, 2^{12563242692000} is an apocalyptic number.

12563242692000 is a gapful number since it is divisible by the number (10) 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 12563242692000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30741799705344).

12563242692000 is an abundant number, since it is smaller than the sum of its proper divisors (48920356718688).

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

12563242692000 is a wasteful number, since it uses less digits than its factorization.

12563242692000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 12563242692000 in words is "twelve trillion, five hundred sixty-three billion, two hundred forty-two million, six hundred ninety-two thousand".