122345332400 has 30 divisors (see below), whose sum is σ = 293934662052. Its totient is φ = 48938132800.

The previous prime is 122345332357. The next prime is 122345332429. The reversal of 122345332400 is 4233543221.

It is a happy number.

122345332400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152931266 + ... + 152932065.

Almost surely, 2^122345332400 is an apocalyptic number.

122345332400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122345332400 is an abundant number, since it is smaller than the sum of its proper divisors (171589329652).

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

122345332400 is a wasteful number, since it uses less digits than its factorization.

122345332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305863349 (or 305863338 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 122345332400 its reverse (4233543221), we get a palindrome (126578875621).

The spelling of 122345332400 in words is "one hundred twenty-two billion, three hundred forty-five million, three hundred thirty-two thousand, four hundred".