1032112120 has 64 divisors (see below), whose sum is σ = 2609651520. Its totient is φ = 364514304.

The previous prime is 1032112099. The next prime is 1032112141. The reversal of 1032112120 is 212112301.

It is an interprime number because it is at equal distance from previous prime (1032112099) and next prime (1032112141).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1032112120.

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, 31189 + ... + 55108.

It is an arithmetic number, because the mean of its divisors is an integer number (40775805).

Almost surely, 2^1032112120 is an apocalyptic number.

1032112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032112120 is an abundant number, since it is smaller than the sum of its proper divisors (1577539400).

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

1032112120 is a wasteful number, since it uses less digits than its factorization.

1032112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86344 (or 86340 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1032112120 is about 32126.5018325992. The cubic root of 1032112120 is about 1010.5914648258.

Adding to 1032112120 its reverse (212112301), we get a palindrome (1244224421).

The spelling of 1032112120 in words is "one billion, thirty-two million, one hundred twelve thousand, one hundred twenty".