122539200 has 252 divisors, whose sum is σ = 468565992. Its totient is φ = 27955200.

The previous prime is 122539177. The next prime is 122539223. The reversal of 122539200 is 2935221.

It is an interprime number because it is at equal distance from previous prime (122539177) and next prime (122539223).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

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 35 ways as a sum of consecutive naturals, for example, 234940 + ... + 235460.

Almost surely, 2^122539200 is an apocalyptic number.

122539200 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 122539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234282996).

122539200 is an abundant number, since it is smaller than the sum of its proper divisors (346026792).

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

122539200 is a wasteful number, since it uses less digits than its factorization.

122539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 122539200 is about 11069.7425444316. The cubic root of 122539200 is about 496.6971639206.

It can be divided in two parts, 12 and 2539200, that multiplied together give a square (30470400 = 5520²).

The spelling of 122539200 in words is "one hundred twenty-two million, five hundred thirty-nine thousand, two hundred".