122145600 has 84 divisors (see below), whose sum is σ = 400755104. Its totient is φ = 32570880.

The previous prime is 122145587. The next prime is 122145619. The reversal of 122145600 is 6541221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7924 + ... + 17523.

Almost surely, 2^122145600 is an apocalyptic number.

122145600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122145600 is an abundant number, since it is smaller than the sum of its proper divisors (278609504).

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

122145600 is a wasteful number, since it uses less digits than its factorization.

122145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25472 (or 25457 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 122145600 is about 11051.9500541760. The cubic root of 122145600 is about 496.1647908908.

Adding to 122145600 its reverse (6541221), we get a palindrome (128686821).

The spelling of 122145600 in words is "one hundred twenty-two million, one hundred forty-five thousand, six hundred".