122581400 has 48 divisors (see below), whose sum is σ = 287667600. Its totient is φ = 48574080.

The previous prime is 122581387. The next prime is 122581411. The reversal of 122581400 is 4185221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18989 + ... + 24611.

It is an arithmetic number, because the mean of its divisors is an integer number (5993075).

Almost surely, 2^122581400 is an apocalyptic number.

122581400 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 122581400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143833800).

122581400 is an abundant number, since it is smaller than the sum of its proper divisors (165086200).

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

122581400 is a wasteful number, since it uses less digits than its factorization.

122581400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5748 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 122581400 is about 11071.6484770787. The cubic root of 122581400 is about 496.7541748326.

The spelling of 122581400 in words is "one hundred twenty-two million, five hundred eighty-one thousand, four hundred".