122394215790672 has 320 divisors, whose sum is σ = 385784222515200. Its totient is φ = 32659260341760.

The previous prime is 122394215790643. The next prime is 122394215790689. The reversal of 122394215790672 is 276097512493221.

It is a super-3 number, since 3×122394215790672³ (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 63 ways as a sum of consecutive naturals, for example, 326117847 + ... + 326492937.

It is an arithmetic number, because the mean of its divisors is an integer number (1205575695360).

Almost surely, 2^{122394215790672} is an apocalyptic number.

122394215790672 is a gapful number since it is divisible by the number (12) 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 122394215790672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192892111257600).

122394215790672 is an abundant number, since it is smaller than the sum of its proper divisors (263390006724528).

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

122394215790672 is a wasteful number, since it uses less digits than its factorization.

122394215790672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375854 (or 375848 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 122394215790672 in words is "one hundred twenty-two trillion, three hundred ninety-four billion, two hundred fifteen million, seven hundred ninety thousand, six hundred seventy-two".