10032112311120 has 120 divisors (see below), whose sum is σ = 34852941981000. Its totient is φ = 2582980635648.

The previous prime is 10032112311107. The next prime is 10032112311131. The reversal of 10032112311120 is 2111321123001.

10032112311120 is a `hidden beast` number, since 1 + 0 + 0 + 321 + 1 + 231 + 112 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2691935866944 + 7340176444176 = 1640712^2 + 2709276^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10032112311093 and 10032112311102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240211695 + ... + 240253454.

It is an arithmetic number, because the mean of its divisors is an integer number (290441183175).

Almost surely, 2^{10032112311120} is an apocalyptic number.

10032112311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032112311120 is an abundant number, since it is smaller than the sum of its proper divisors (24820829669880).

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

10032112311120 is a wasteful number, since it uses less digits than its factorization.

10032112311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480465197 (or 480465188 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10032112311120 its reverse (2111321123001), we get a palindrome (12143433434121).

The spelling of 10032112311120 in words is "ten trillion, thirty-two billion, one hundred twelve million, three hundred eleven thousand, one hundred twenty".