11235540120 has 64 divisors (see below), whose sum is σ = 38521854720. Its totient is φ = 2568123264.

The previous prime is 11235540079. The next prime is 11235540137. The reversal of 11235540120 is 2104553211.

It is a happy number.

11235540120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11235540120² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6686982 + ... + 6688661.

It is an arithmetic number, because the mean of its divisors is an integer number (601903980).

Almost surely, 2^11235540120 is an apocalyptic number.

11235540120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11235540120 is an abundant number, since it is smaller than the sum of its proper divisors (27286314600).

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

11235540120 is a wasteful number, since it uses less digits than its factorization.

11235540120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13375664 (or 13375660 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 11235540120 in words is "eleven billion, two hundred thirty-five million, five hundred forty thousand, one hundred twenty".