122484700800 has 2880 divisors, whose sum is σ = 629732283840. Its totient is φ = 22693478400.

The previous prime is 122484700769. The next prime is 122484700813. The reversal of 122484700800 is 8007484221.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6446563191 + ... + 6446563209.

It is an arithmetic number, because the mean of its divisors is an integer number (218657043).

Almost surely, 2^122484700800 is an apocalyptic number.

122484700800 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 122484700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314866141920).

122484700800 is an abundant number, since it is smaller than the sum of its proper divisors (507247583040).

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

122484700800 is a wasteful number, since it uses less digits than its factorization.

122484700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 122484700800 in words is "one hundred twenty-two billion, four hundred eighty-four million, seven hundred thousand, eight hundred".