122415252200 has 96 divisors (see below), whose sum is σ = 287753067000. Its totient is φ = 48427392000.

The previous prime is 122415252181. The next prime is 122415252217. The reversal of 122415252200 is 2252514221.

It can be written as a sum of positive squares in 12 ways, for example, as 17805699844 + 104609552356 = 133438^2 + 323434^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122415252200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21590966 + ... + 21596634.

Almost surely, 2^122415252200 is an apocalyptic number.

122415252200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122415252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143876533500).

122415252200 is an abundant number, since it is smaller than the sum of its proper divisors (165337814800).

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

122415252200 is a wasteful number, since it uses less digits than its factorization.

122415252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6855 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 122415252200 its reverse (2252514221), we get a palindrome (124667766421).

The spelling of 122415252200 in words is "one hundred twenty-two billion, four hundred fifteen million, two hundred fifty-two thousand, two hundred".