11151540120 has 128 divisors (see below), whose sum is σ = 38355379200. Its totient is φ = 2540822016.

The previous prime is 11151540119. The next prime is 11151540187. The reversal of 11151540120 is 2104515111.

It is a super-2 number, since 2×11151540120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245341 + ... + 287219.

It is an arithmetic number, because the mean of its divisors is an integer number (299651400).

Almost surely, 2^11151540120 is an apocalyptic number.

11151540120 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 11151540120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19177689600).

11151540120 is an abundant number, since it is smaller than the sum of its proper divisors (27203839080).

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

11151540120 is a wasteful number, since it uses less digits than its factorization.

11151540120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42217 (or 42213 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 21.

The spelling of 11151540120 in words is "eleven billion, one hundred fifty-one million, five hundred forty thousand, one hundred twenty".