11531352112000 has 128 divisors (see below), whose sum is σ = 32765513676480. Its totient is φ = 3953606400000.

The previous prime is 11531352111991. The next prime is 11531352112001. The reversal of 11531352112000 is 21125313511.

11531352112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11531352112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51367251 + ... + 51591250.

Almost surely, 2^{11531352112000} is an apocalyptic number.

11531352112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11531352112000 is an abundant number, since it is smaller than the sum of its proper divisors (21234161564480).

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

11531352112000 is an equidigital number, since it uses as much as digits as its factorization.

11531352112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102958537 (or 102958515 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 11531352112000 its reverse (21125313511), we get a palindrome (11552477425511).

The spelling of 11531352112000 in words is "eleven trillion, five hundred thirty-one billion, three hundred fifty-two million, one hundred twelve thousand".