11872224000 has 1152 divisors, whose sum is σ = 54283407360. Its totient is φ = 2488320000.

The previous prime is 11872223971. The next prime is 11872224029. The reversal of 11872224000 is 42227811.

It is an interprime number because it is at equal distance from previous prime (11872223971) and next prime (11872224029).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 78623925 + ... + 78624075.

Almost surely, 2^11872224000 is an apocalyptic number.

11872224000 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 11872224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141703680).

11872224000 is an abundant number, since it is smaller than the sum of its proper divisors (42411183360).

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

11872224000 is a wasteful number, since it uses less digits than its factorization.

11872224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 11872224000 in words is "eleven billion, eight hundred seventy-two million, two hundred twenty-four thousand".