122740800 has 336 divisors, whose sum is σ = 497384832. Its totient is φ = 25804800.

The previous prime is 122740771. The next prime is 122740819. The reversal of 122740800 is 8047221.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436660 + ... + 436940.

It is an arithmetic number, because the mean of its divisors is an integer number (1480312).

Almost surely, 2^122740800 is an apocalyptic number.

122740800 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 122740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248692416).

122740800 is an abundant number, since it is smaller than the sum of its proper divisors (374644032).

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

122740800 is a wasteful number, since it uses less digits than its factorization.

122740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 122740800 is about 11078.8447051125. The cubic root of 122740800 is about 496.9694013903.

The spelling of 122740800 in words is "one hundred twenty-two million, seven hundred forty thousand, eight hundred".