122114525200 has 30 divisors (see below), whose sum is σ = 293380147754. Its totient is φ = 48845809920.

The previous prime is 122114525177. The next prime is 122114525219. The reversal of 122114525200 is 2525411221.

It can be written as a sum of positive squares in 3 ways, for example, as 2553483024 + 119561042176 = 50532^2 + 345776^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152642757 + ... + 152643556.

Almost surely, 2^122114525200 is an apocalyptic number.

122114525200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122114525200 is an abundant number, since it is smaller than the sum of its proper divisors (171265622554).

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

122114525200 is a wasteful number, since it uses less digits than its factorization.

122114525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305286331 (or 305286320 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 122114525200 its reverse (2525411221), we get a palindrome (124639936421).

The spelling of 122114525200 in words is "one hundred twenty-two billion, one hundred fourteen million, five hundred twenty-five thousand, two hundred".