122553900 has 216 divisors, whose sum is σ = 449103200. Its totient is φ = 27941760.

The previous prime is 122553883. The next prime is 122553917. The reversal of 122553900 is 9355221.

122553900 is a `hidden beast` number, since 1 + 22 + 553 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122553883) and next prime (122553917).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 308502 + ... + 308898.

Almost surely, 2^122553900 is an apocalyptic number.

122553900 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 122553900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224551600).

122553900 is an abundant number, since it is smaller than the sum of its proper divisors (326549300).

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

122553900 is a wasteful number, since it uses less digits than its factorization.

122553900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 122553900 is about 11070.4064966016. The cubic root of 122553900 is about 496.7170246574.

The spelling of 122553900 in words is "one hundred twenty-two million, five hundred fifty-three thousand, nine hundred".