11227511120 has 120 divisors (see below), whose sum is σ = 30489486048. Its totient is φ = 3833760000.

The previous prime is 11227511117. The next prime is 11227511137. The reversal of 11227511120 is 2111572211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978215 + ... + 989625.

Almost surely, 2^11227511120 is an apocalyptic number.

11227511120 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 11227511120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15244743024).

11227511120 is an abundant number, since it is smaller than the sum of its proper divisors (19261974928).

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

11227511120 is a wasteful number, since it uses less digits than its factorization.

11227511120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11689 (or 11676 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 23.

The spelling of 11227511120 in words is "eleven billion, two hundred twenty-seven million, five hundred eleven thousand, one hundred twenty".