122748436800 has 756 divisors, whose sum is σ = 494683609056. Its totient is φ = 29729203200.

The previous prime is 122748436747. The next prime is 122748436823. The reversal of 122748436800 is 8634847221.

It is a happy number.

122748436800 is a `hidden beast` number, since 12 + 274 + 8 + 4 + 368 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 115473069 + ... + 115474131.

Almost surely, 2^122748436800 is an apocalyptic number.

122748436800 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 122748436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247341804528).

122748436800 is an abundant number, since it is smaller than the sum of its proper divisors (371935172256).

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

122748436800 is an equidigital number, since it uses as much as digits as its factorization.

122748436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 122748436800 in words is "one hundred twenty-two billion, seven hundred forty-eight million, four hundred thirty-six thousand, eight hundred".