1135056120 has 64 divisors (see below), whose sum is σ = 3714733440. Its totient is φ = 275164800.

The previous prime is 1135056113. The next prime is 1135056127. The reversal of 1135056120 is 216505311.

1135056120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1135056113) and next prime (1135056127).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135056127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428626 + ... + 431265.

It is an arithmetic number, because the mean of its divisors is an integer number (58042710).

Almost surely, 2^1135056120 is an apocalyptic number.

1135056120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135056120 is an abundant number, since it is smaller than the sum of its proper divisors (2579677320).

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

1135056120 is a wasteful number, since it uses less digits than its factorization.

1135056120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859916 (or 859912 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1135056120 is about 33690.5939395553. The cubic root of 1135056120 is about 1043.1316232886.

The spelling of 1135056120 in words is "one billion, one hundred thirty-five million, fifty-six thousand, one hundred twenty".