11368121256 has 96 divisors (see below), whose sum is σ = 32245668000. Its totient is φ = 3751790400.

The previous prime is 11368121213. The next prime is 11368121257. The reversal of 11368121256 is 65212186311.

11368121256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11368121256² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11368121256.

It is not an unprimeable number, because it can be changed into a prime (11368121257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167395 + ... + 225293.

It is an arithmetic number, because the mean of its divisors is an integer number (335892375).

Almost surely, 2^11368121256 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 11368121256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16122834000).

11368121256 is an abundant number, since it is smaller than the sum of its proper divisors (20877546744).

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

11368121256 is a wasteful number, since it uses less digits than its factorization.

11368121256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58021 (or 58005 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 11368121256 in words is "eleven billion, three hundred sixty-eight million, one hundred twenty-one thousand, two hundred fifty-six".