122558800 has 270 divisors, whose sum is σ = 380919258. Its totient is φ = 37739520.

The previous prime is 122558791. The next prime is 122558809. The reversal of 122558800 is 8855221.

It is an interprime number because it is at equal distance from previous prime (122558791) and next prime (122558809).

It can be written as a sum of positive squares in 9 ways, for example, as 50580544 + 71978256 = 7112^2 + 8484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122558809) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3312382 + ... + 3312418.

Almost surely, 2^122558800 is an apocalyptic number.

122558800 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 122558800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190459629).

122558800 is an abundant number, since it is smaller than the sum of its proper divisors (258360458).

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

122558800 is a wasteful number, since it uses less digits than its factorization.

122558800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 122558800 is about 11070.6278051428. The cubic root of 122558800 is about 496.7236445500.

It can be divided in two parts, 1225 and 58800, that added together give a square (60025 = 245²).

The spelling of 122558800 in words is "one hundred twenty-two million, five hundred fifty-eight thousand, eight hundred".