10132123120 has 80 divisors (see below), whose sum is σ = 27225132480. Its totient is φ = 3434821632.

The previous prime is 10132123087. The next prime is 10132123181. The reversal of 10132123120 is 2132123101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10132123094 and 10132123103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51807 + ... + 151486.

It is an arithmetic number, because the mean of its divisors is an integer number (340314156).

Almost surely, 2^10132123120 is an apocalyptic number.

10132123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132123120 is an abundant number, since it is smaller than the sum of its proper divisors (17093009360).

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

10132123120 is a wasteful number, since it uses less digits than its factorization.

10132123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203402 (or 203396 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10132123120 its reverse (2132123101), we get a palindrome (12264246221).

The spelling of 10132123120 in words is "ten billion, one hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty".