122276044800 has 1512 divisors, whose sum is σ = 559773557616. Its totient is φ = 25798901760.

The previous prime is 122276044799. The next prime is 122276044817. The reversal of 122276044800 is 8440672221.

122276044800 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 7 + 604 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×122276044800² (a number of 23 digits) contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9405849594 + ... + 9405849606.

Almost surely, 2^122276044800 is an apocalyptic number.

122276044800 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 122276044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279886778808).

122276044800 is an abundant number, since it is smaller than the sum of its proper divisors (437497512816).

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

122276044800 is an frugal number, since it uses more digits than its factorization.

122276044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 122276044800 in words is "one hundred twenty-two billion, two hundred seventy-six million, forty-four thousand, eight hundred".