122546400 has 72 divisors (see below), whose sum is σ = 398896344. Its totient is φ = 32678400.

The previous prime is 122546399. The next prime is 122546407. The reversal of 122546400 is 4645221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122546407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23131 + ... + 27930.

It is an arithmetic number, because the mean of its divisors is an integer number (5540227).

Almost surely, 2^122546400 is an apocalyptic number.

122546400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122546400 is an abundant number, since it is smaller than the sum of its proper divisors (276349944).

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

122546400 is a wasteful number, since it uses less digits than its factorization.

122546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51084 (or 51071 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 122546400 is about 11070.0677504702. The cubic root of 122546400 is about 496.7068918269.

The spelling of 122546400 in words is "one hundred twenty-two million, five hundred forty-six thousand, four hundred".