123132960 has 144 divisors (see below), whose sum is σ = 435891456. Its totient is φ = 32825088.

The previous prime is 123132959. The next prime is 123132967. The reversal of 123132960 is 69231321.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123132967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37297 + ... + 40463.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 2^123132960 is an apocalyptic number.

123132960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217945728).

123132960 is an abundant number, since it is smaller than the sum of its proper divisors (312758496).

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

123132960 is an equidigital number, since it uses as much as digits as its factorization.

123132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 123132960 is about 11096.5291870927. The cubic root of 123132960 is about 497.4981153603.

It can be divided in two parts, 1231 and 32960, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 123132960 in words is "one hundred twenty-three million, one hundred thirty-two thousand, nine hundred sixty".