122848514870400 has 2304 divisors, whose sum is σ = 516379349606400. Its totient is φ = 28467293184000.

The previous prime is 122848514870329. The next prime is 122848514870429. The reversal of 122848514870400 is 4078415848221.

122848514870400 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 4 + 8 + 514 + 87 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26899168917 + ... + 26899173483.

It is an arithmetic number, because the mean of its divisors is an integer number (224122981600).

Almost surely, 2^{122848514870400} is an apocalyptic number.

122848514870400 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 122848514870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258189674803200).

122848514870400 is an abundant number, since it is smaller than the sum of its proper divisors (393530834736000).

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

122848514870400 is a wasteful number, since it uses less digits than its factorization.

122848514870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 122848514870400 in words is "one hundred twenty-two trillion, eight hundred forty-eight billion, five hundred fourteen million, eight hundred seventy thousand, four hundred".