11922451200 has 648 divisors, whose sum is σ = 48079589376. Its totient is φ = 2792448000.

The previous prime is 11922451153. The next prime is 11922451217. The reversal of 11922451200 is 215422911.

11922451200 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 2 + 451 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19641297 + ... + 19641903.

Almost surely, 2^11922451200 is an apocalyptic number.

11922451200 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 11922451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24039794688).

11922451200 is an abundant number, since it is smaller than the sum of its proper divisors (36157138176).

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

11922451200 is a wasteful number, since it uses less digits than its factorization.

11922451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11922451200 in words is "eleven billion, nine hundred twenty-two million, four hundred fifty-one thousand, two hundred".