123940800 has 336 divisors, whose sum is σ = 478739200. Its totient is φ = 31104000.

The previous prime is 123940793. The next prime is 123940811. The reversal of 123940800 is 8049321.

It is a super-2 number, since 2×123940800² = 30722643809280000, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820725 + ... + 820875.

Almost surely, 2^123940800 is an apocalyptic number.

123940800 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 123940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239369600).

123940800 is an abundant number, since it is smaller than the sum of its proper divisors (354798400).

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

123940800 is a wasteful number, since it uses less digits than its factorization.

123940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 123940800 is about 11132.8702498502. The cubic root of 123940800 is about 498.5837254539.

The spelling of 123940800 in words is "one hundred twenty-three million, nine hundred forty thousand, eight hundred".