122251314400 has 36 divisors (see below), whose sum is σ = 298446023232. Its totient is φ = 48900525440.

The previous prime is 122251314337. The next prime is 122251314421. The reversal of 122251314400 is 4413152221.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76406272 + ... + 76407871.

It is an arithmetic number, because the mean of its divisors is an integer number (8290167312).

Almost surely, 2^122251314400 is an apocalyptic number.

122251314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122251314400 is an abundant number, since it is smaller than the sum of its proper divisors (176194708832).

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

122251314400 is a wasteful number, since it uses less digits than its factorization.

122251314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152814163 (or 152814150 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 122251314400 its reverse (4413152221), we get a palindrome (126664466621).

The spelling of 122251314400 in words is "one hundred twenty-two billion, two hundred fifty-one million, three hundred fourteen thousand, four hundred".