123088032 has 96 divisors (see below), whose sum is σ = 362577600. Its totient is φ = 40621824.

The previous prime is 123088003. The next prime is 123088033. The reversal of 123088032 is 230880321.

123088032 = T₁₄₄₈ + T₁₄₄₉ + ... + T₁₅₅₆.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 123087987 and 123088005.

It is not an unprimeable number, because it can be changed into a prime (123088033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93523 + ... + 94829.

It is an arithmetic number, because the mean of its divisors is an integer number (3776850).

Almost surely, 2^123088032 is an apocalyptic number.

123088032 is a gapful number since it is divisible by the number (12) 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 123088032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181288800).

123088032 is an abundant number, since it is smaller than the sum of its proper divisors (239489568).

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

123088032 is a wasteful number, since it uses less digits than its factorization.

123088032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 123088032 is about 11094.5045856045. The cubic root of 123088032 is about 497.4375999782.

The spelling of 123088032 in words is "one hundred twenty-three million, eighty-eight thousand, thirty-two".