122492700800 has 216 divisors, whose sum is σ = 317503874415. Its totient is φ = 46692546560.

The previous prime is 122492700791. The next prime is 122492700817. The reversal of 122492700800 is 8007294221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1683625024 + 120809075776 = 41032^2 + 347576^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247480.

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 26 ways as a sum of consecutive naturals, for example, 455363066 + ... + 455363334.

Almost surely, 2^122492700800 is an apocalyptic number.

122492700800 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 122492700800

122492700800 is an abundant number, since it is smaller than the sum of its proper divisors (195011173615).

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

122492700800 is an frugal number, since it uses more digits than its factorization.

122492700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 122492700800 in words is "one hundred twenty-two billion, four hundred ninety-two million, seven hundred thousand, eight hundred".