122572200 has 96 divisors (see below), whose sum is σ = 381850560. Its totient is φ = 32524800.

The previous prime is 122572189. The next prime is 122572201. The reversal of 122572200 is 2275221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122572201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168237 + ... + 168963.

It is an arithmetic number, because the mean of its divisors is an integer number (3977610).

Almost surely, 2^122572200 is an apocalyptic number.

122572200 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 122572200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190925280).

122572200 is an abundant number, since it is smaller than the sum of its proper divisors (259278360).

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

122572200 is a wasteful number, since it uses less digits than its factorization.

122572200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 122572200 is about 11071.2329936643. The cubic root of 122572200 is about 496.7417470289.

The spelling of 122572200 in words is "one hundred twenty-two million, five hundred seventy-two thousand, two hundred".