11121912000 has 336 divisors, whose sum is σ = 40166373312. Its totient is φ = 2937446400.

The previous prime is 11121911963. The next prime is 11121912001. The reversal of 11121912000 is 21912111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11121912001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8135317 + ... + 8136683.

Almost surely, 2^11121912000 is an apocalyptic number.

11121912000 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 11121912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20083186656).

11121912000 is an abundant number, since it is smaller than the sum of its proper divisors (29044461312).

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

11121912000 is a wasteful number, since it uses less digits than its factorization.

11121912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 11121912000 in words is "eleven billion, one hundred twenty-one million, nine hundred twelve thousand".