11319912000 has 448 divisors, whose sum is σ = 42109217280. Its totient is φ = 3013977600.

The previous prime is 11319911983. The next prime is 11319912029. The reversal of 11319912000 is 21991311.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17495677 + ... + 17496323.

Almost surely, 2^11319912000 is an apocalyptic number.

11319912000 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 11319912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21054608640).

11319912000 is an abundant number, since it is smaller than the sum of its proper divisors (30789305280).

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

11319912000 is an frugal number, since it uses more digits than its factorization.

11319912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 11319912000 in words is "eleven billion, three hundred nineteen million, nine hundred twelve thousand".