122904900 has 216 divisors, whose sum is σ = 423488520. Its totient is φ = 29675520.

The previous prime is 122904877. The next prime is 122904907. The reversal of 122904900 is 9409221.

It can be written as a sum of positive squares in 12 ways, for example, as 33942276 + 88962624 = 5826^2 + 9432^2 .

It is a super-2 number, since 2×122904900² = 30211228888020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122904907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 443562 + ... + 443838.

It is an arithmetic number, because the mean of its divisors is an integer number (1960595).

Almost surely, 2^122904900 is an apocalyptic number.

122904900 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 122904900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211744260).

122904900 is an abundant number, since it is smaller than the sum of its proper divisors (300583620).

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

122904900 is a wasteful number, since it uses less digits than its factorization.

122904900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 122904900 is about 11086.2482382454. The cubic root of 122904900 is about 497.1907794526.

The spelling of 122904900 in words is "one hundred twenty-two million, nine hundred four thousand, nine hundred".