11107912200 has 384 divisors, whose sum is σ = 45459947520. Its totient is φ = 2172211200.

The previous prime is 11107912163. The next prime is 11107912201. The reversal of 11107912200 is 221970111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11107912201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 778329 + ... + 792471.

It is an arithmetic number, because the mean of its divisors is an integer number (118385280).

Almost surely, 2^11107912200 is an apocalyptic number.

11107912200 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 11107912200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22729973760).

11107912200 is an abundant number, since it is smaller than the sum of its proper divisors (34352035320).

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

11107912200 is a wasteful number, since it uses less digits than its factorization.

11107912200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14197 (or 14188 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The spelling of 11107912200 in words is "eleven billion, one hundred seven million, nine hundred twelve thousand, two hundred".