122581200 has 120 divisors (see below), whose sum is σ = 448794688. Its totient is φ = 28016640.

The previous prime is 122581183. The next prime is 122581229. The reversal of 122581200 is 2185221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 1104 + ... + 15696.

Almost surely, 2^122581200 is an apocalyptic number.

122581200 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 122581200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224397344).

122581200 is an abundant number, since it is smaller than the sum of its proper divisors (326213488).

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

122581200 is a wasteful number, since it uses less digits than its factorization.

122581200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14621 (or 14610 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 122581200 is about 11071.6394449964. The cubic root of 122581200 is about 496.7539046696.

The spelling of 122581200 in words is "one hundred twenty-two million, five hundred eighty-one thousand, two hundred".