11911305120 has 384 divisors, whose sum is σ = 44559486720. Its totient is φ = 2636513280.

The previous prime is 11911305101. The next prime is 11911305137. The reversal of 11911305120 is 2150311911.

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

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, 6657186 + ... + 6658974.

It is an arithmetic number, because the mean of its divisors is an integer number (116040330).

Almost surely, 2^11911305120 is an apocalyptic number.

11911305120 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 11911305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22279743360).

11911305120 is an abundant number, since it is smaller than the sum of its proper divisors (32648181600).

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

11911305120 is a wasteful number, since it uses less digits than its factorization.

11911305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 24.

The spelling of 11911305120 in words is "eleven billion, nine hundred eleven million, three hundred five thousand, one hundred twenty".