122561600 has 168 divisors, whose sum is σ = 356786688. Its totient is φ = 40550400.

The previous prime is 122561597. The next prime is 122561623. The reversal of 122561600 is 6165221.

It is a congruent number.

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, 347024 + ... + 347376.

Almost surely, 2^122561600 is an apocalyptic number.

122561600 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 122561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178393344).

122561600 is an abundant number, since it is smaller than the sum of its proper divisors (234225088).

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

122561600 is a wasteful number, since it uses less digits than its factorization.

122561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 122561600 is about 11070.7542651799. The cubic root of 122561600 is about 496.7274272666.

The spelling of 122561600 in words is "one hundred twenty-two million, five hundred sixty-one thousand, six hundred".