122344050215120 has 80 divisors (see below), whose sum is σ = 292788396392400. Its totient is φ = 47508934459392.

The previous prime is 122344050215089. The next prime is 122344050215171. The reversal of 122344050215120 is 21512050443221.

It can be written as a sum of positive squares in 8 ways, for example, as 2221924134544 + 120122126080576 = 1490612^2 + 10960024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122344050215120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44698187 + ... + 47356266.

It is an arithmetic number, because the mean of its divisors is an integer number (3659854954905).

Almost surely, 2^{122344050215120} is an apocalyptic number.

122344050215120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122344050215120 is an abundant number, since it is smaller than the sum of its proper divisors (170444346177280).

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

122344050215120 is a wasteful number, since it uses less digits than its factorization.

122344050215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92054952 (or 92054946 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 122344050215120 in words is "one hundred twenty-two trillion, three hundred forty-four billion, fifty million, two hundred fifteen thousand, one hundred twenty".