122415062112500 has 72 divisors (see below), whose sum is σ = 267998075822232. Its totient is φ = 48923550720000.

The previous prime is 122415062112467. The next prime is 122415062112517. The reversal of 122415062112500 is 5211260514221.

It can be written as a sum of positive squares in 12 ways, for example, as 120412786172176 + 2002275940324 = 10973276^2 + 1415018^2 .

It is a super-3 number, since 3×122415062112500³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10165664 + ... + 18659336.

It is an arithmetic number, because the mean of its divisors is an integer number (3722195497531).

Almost surely, 2^{122415062112500} is an apocalyptic number.

122415062112500 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 122415062112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133999037911116).

122415062112500 is an abundant number, since it is smaller than the sum of its proper divisors (145583013709732).

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

122415062112500 is an equidigital number, since it uses as much as digits as its factorization.

122415062112500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8494855 (or 8494833 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 122415062112500 in words is "one hundred twenty-two trillion, four hundred fifteen billion, sixty-two million, one hundred twelve thousand, five hundred".