123960326400 has 567 divisors, whose sum is σ = 462860856129. Its totient is φ = 32853288960.

The previous prime is 123960326389. The next prime is 123960326411. The reversal of 123960326400 is 4623069321.

The square root of 123960326400 is 352080.

It is a perfect power (a square), and thus also a powerful number.

123960326400 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 6 + 0 + 3 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123960326389) and next prime (123960326411).

It can be written as a sum of positive squares in only one way, i.e., 44625717504 + 79334608896 = 211248^2 + 281664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 760492719 + ... + 760492881.

Almost surely, 2^123960326400 is an apocalyptic number.

123960326400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123960326400 is the 352080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123960326400

123960326400 is an abundant number, since it is smaller than the sum of its proper divisors (338900529729).

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

123960326400 is an frugal number, since it uses more digits than its factorization.

123960326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 123960326400 by its sum of digits (36), we get a square (4462571750400 = 2112480²).

123960326400 divided by its sum of digits (36) gives a square (3443342400 = 58680²).

123960326400 divided by its product of nonzero digits (46656) gives a square (2656900 = 1630²).

The spelling of 123960326400 in words is "one hundred twenty-three billion, nine hundred sixty million, three hundred twenty-six thousand, four hundred".