122332057600 has 117 divisors (see below), whose sum is σ = 303624258303. Its totient is φ = 48888053760.

The previous prime is 122332057583. The next prime is 122332057619. The reversal of 122332057600 is 6750233221.

The square root of 122332057600 is 349760.

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

It can be written as a sum of positive squares in 4 ways, for example, as 30460022784 + 91872034816 = 174528^2 + 303104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111922654 + ... + 111923746.

Almost surely, 2^122332057600 is an apocalyptic number.

122332057600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122332057600 is the 349760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122332057600

122332057600 is an abundant number, since it is smaller than the sum of its proper divisors (181292200703).

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

122332057600 is an frugal number, since it uses more digits than its factorization.

122332057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 122332057600 in words is "one hundred twenty-two billion, three hundred thirty-two million, fifty-seven thousand, six hundred".