122986800 has 180 divisors, whose sum is σ = 431758080. Its totient is φ = 32417280.

The previous prime is 122986769. The next prime is 122986811. The reversal of 122986800 is 8689221.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 457066 + ... + 457334.

It is an arithmetic number, because the mean of its divisors is an integer number (2398656).

Almost surely, 2^122986800 is an apocalyptic number.

122986800 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 122986800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215879040).

122986800 is an abundant number, since it is smaller than the sum of its proper divisors (308771280).

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

122986800 is a wasteful number, since it uses less digits than its factorization.

122986800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 122986800 is about 11089.9413884835. The cubic root of 122986800 is about 497.3011924178.

The spelling of 122986800 in words is "one hundred twenty-two million, nine hundred eighty-six thousand, eight hundred".