11212469452800 has 4860 divisors, whose sum is σ = 56060407581360. Its totient is φ = 2207239372800.

The previous prime is 11212469452771. The next prime is 11212469452843. The reversal of 11212469452800 is 825496421211.

11212469452800 is a `hidden beast` number, since 1 + 12 + 1 + 24 + 6 + 94 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4860).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 590129971191 + ... + 590129971209.

Almost surely, 2^{11212469452800} is an apocalyptic number.

11212469452800 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 11212469452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28030203790680).

11212469452800 is an abundant number, since it is smaller than the sum of its proper divisors (44847938128560).

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

11212469452800 is an equidigital number, since it uses as much as digits as its factorization.

11212469452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11212469452800 in words is "eleven trillion, two hundred twelve billion, four hundred sixty-nine million, four hundred fifty-two thousand, eight hundred".