10232200120320 has 144 divisors (see below), whose sum is σ = 35462967337980. Its totient is φ = 2728586674176.

The previous prime is 10232200120283. The next prime is 10232200120357. The reversal of 10232200120320 is 2302100223201.

10232200120320 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 220 + 0 + 120 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (10232200120283) and next prime (10232200120357).

It can be written as a sum of positive squares in 2 ways, for example, as 10040482243584 + 191717876736 = 3168672^2 + 437856^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 10232200120293 and 10232200120302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55421079 + ... + 55605398.

Almost surely, 2^{10232200120320} is an apocalyptic number.

10232200120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232200120320 is an abundant number, since it is smaller than the sum of its proper divisors (25230767217660).

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

10232200120320 is a wasteful number, since it uses less digits than its factorization.

10232200120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111026510 (or 111026487 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10232200120320 its reverse (2302100223201), we get a palindrome (12534300343521).

The spelling of 10232200120320 in words is "ten trillion, two hundred thirty-two billion, two hundred million, one hundred twenty thousand, three hundred twenty".