122714400 has 72 divisors (see below), whose sum is σ = 399443184. Its totient is φ = 32723200.

The previous prime is 122714377. The next prime is 122714401. The reversal of 122714400 is 4417221.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (122714401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23166 + ... + 27965.

It is an arithmetic number, because the mean of its divisors is an integer number (5547822).

Almost surely, 2^122714400 is an apocalyptic number.

122714400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122714400 is an abundant number, since it is smaller than the sum of its proper divisors (276728784).

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

122714400 is a wasteful number, since it uses less digits than its factorization.

122714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51154 (or 51141 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 122714400 is about 11077.6531810668. The cubic root of 122714400 is about 496.9337682160.

The spelling of 122714400 in words is "one hundred twenty-two million, seven hundred fourteen thousand, four hundred".