122127883024 has 75 divisors (see below), whose sum is σ = 276198383463. Its totient is φ = 52311165984.

The previous prime is 122127883013. The next prime is 122127883037. The reversal of 122127883024 is 420388721221.

The square root of 122127883024 is 349468.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 68494837 + ... + 68496619.

Almost surely, 2^122127883024 is an apocalyptic number.

122127883024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122127883024 is the 349468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122127883024

122127883024 is an abundant number, since it is smaller than the sum of its proper divisors (154070500439).

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

122127883024 is an frugal number, since it uses more digits than its factorization.

122127883024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 122127883024 in words is "one hundred twenty-two billion, one hundred twenty-seven million, eight hundred eighty-three thousand, twenty-four".