11988933120 has 800 divisors, whose sum is σ = 48126830400. Its totient is φ = 2834694144.

The previous prime is 11988933097. The next prime is 11988933133. The reversal of 11988933120 is 2133988911.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66977191 + ... + 66977369.

It is an arithmetic number, because the mean of its divisors is an integer number (60158538).

Almost surely, 2^11988933120 is an apocalyptic number.

11988933120 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 11988933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24063415200).

11988933120 is an abundant number, since it is smaller than the sum of its proper divisors (36137897280).

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

11988933120 is a wasteful number, since it uses less digits than its factorization.

11988933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11988933120 in words is "eleven billion, nine hundred eighty-eight million, nine hundred thirty-three thousand, one hundred twenty".