122972774400 has 1008 divisors, whose sum is σ = 523539866304. Its totient is φ = 28028436480.

The previous prime is 122972774371. The next prime is 122972774411. The reversal of 122972774400 is 4477279221.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348364624 + ... + 348364976.

It is an arithmetic number, because the mean of its divisors is an integer number (519384788).

Almost surely, 2^122972774400 is an apocalyptic number.

122972774400 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 122972774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261769933152).

122972774400 is an abundant number, since it is smaller than the sum of its proper divisors (400567091904).

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

122972774400 is an frugal number, since it uses more digits than its factorization.

122972774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 122972774400 in words is "one hundred twenty-two billion, nine hundred seventy-two million, seven hundred seventy-four thousand, four hundred".