11612111884800 has 2400 divisors, whose sum is σ = 47839268537280. Its totient is φ = 2478292992000.

The previous prime is 11612111884781. The next prime is 11612111884903. The reversal of 11612111884800 is 848811121611.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×11612111884800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 114971404750 + ... + 114971404850.

Almost surely, 2^{11612111884800} is an apocalyptic number.

11612111884800 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 11612111884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23919634268640).

11612111884800 is an abundant number, since it is smaller than the sum of its proper divisors (36227156652480).

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

11612111884800 is an equidigital number, since it uses as much as digits as its factorization.

11612111884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 42.

The spelling of 11612111884800 in words is "eleven trillion, six hundred twelve billion, one hundred eleven million, eight hundred eighty-four thousand, eight hundred".