122893200 has 150 divisors (see below), whose sum is σ = 441170114. Its totient is φ = 32762880.

The previous prime is 122893193. The next prime is 122893217. The reversal of 122893200 is 2398221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 746496 + 122146704 = 864^2 + 11052^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 30504 + ... + 34296.

Almost surely, 2^122893200 is an apocalyptic number.

122893200 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 122893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220585057).

122893200 is an abundant number, since it is smaller than the sum of its proper divisors (318276914).

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

122893200 is a wasteful number, since it uses less digits than its factorization.

122893200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 122893200 is about 11085.7205449172. The cubic root of 122893200 is about 497.1750021681.

The spelling of 122893200 in words is "one hundred twenty-two million, eight hundred ninety-three thousand, two hundred".