123057312 has 96 divisors (see below), whose sum is σ = 371952000. Its totient is φ = 34894848.

The previous prime is 123057307. The next prime is 123057317. The reversal of 123057312 is 213750321.

It is an interprime number because it is at equal distance from previous prime (123057307) and next prime (123057317).

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 (24).

It is not an unprimeable number, because it can be changed into a prime (123057317) 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 15 ways as a sum of consecutive naturals, for example, 99514 + ... + 100742.

It is an arithmetic number, because the mean of its divisors is an integer number (3874500).

Almost surely, 2^123057312 is an apocalyptic number.

123057312 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 123057312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185976000).

123057312 is an abundant number, since it is smaller than the sum of its proper divisors (248894688).

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

123057312 is a wasteful number, since it uses less digits than its factorization.

123057312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 123057312 is about 11093.1200300006. The cubic root of 123057312 is about 497.3962134619.

The spelling of 123057312 in words is "one hundred twenty-three million, fifty-seven thousand, three hundred twelve".