122053200 has 240 divisors, whose sum is σ = 429543936. Its totient is φ = 29491200.

The previous prime is 122053181. The next prime is 122053229. The reversal of 122053200 is 2350221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122053200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632304 + ... + 632496.

Almost surely, 2^122053200 is an apocalyptic number.

122053200 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 122053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214771968).

122053200 is an abundant number, since it is smaller than the sum of its proper divisors (307490736).

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

122053200 is a wasteful number, since it uses less digits than its factorization.

122053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 122053200 is about 11047.7690055504. The cubic root of 122053200 is about 496.0396473684.

The spelling of 122053200 in words is "one hundred twenty-two million, fifty-three thousand, two hundred".