11122560000 has 330 divisors, whose sum is σ = 40153125012. Its totient is φ = 2964480000.

The previous prime is 11122559993. The next prime is 11122560023. The reversal of 11122560000 is 6522111.

It is a super-2 number, since 2×11122560000² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5759035 + ... + 5760965.

Almost surely, 2^11122560000 is an apocalyptic number.

11122560000 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 11122560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20076562506).

11122560000 is an abundant number, since it is smaller than the sum of its proper divisors (29030565012).

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

11122560000 is an equidigital number, since it uses as much as digits as its factorization.

11122560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 11122560000 in words is "eleven billion, one hundred twenty-two million, five hundred sixty thousand".