122189797074816 has 1024 divisors, whose sum is σ = 399532926470400. Its totient is φ = 36600041963520.

The previous prime is 122189797074809. The next prime is 122189797074827. The reversal of 122189797074816 is 618470797981221.

122189797074816 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 8 + 9 + 79 + 70 + 7 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76512082530 + ... + 76512084126.

Almost surely, 2^{122189797074816} is an apocalyptic number.

122189797074816 is a gapful number since it is divisible by the number (16) 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 122189797074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199766463235200).

122189797074816 is an abundant number, since it is smaller than the sum of its proper divisors (277343129395584).

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

122189797074816 is a wasteful number, since it uses less digits than its factorization.

122189797074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 72.

The spelling of 122189797074816 in words is "one hundred twenty-two trillion, one hundred eighty-nine billion, seven hundred ninety-seven million, seventy-four thousand, eight hundred sixteen".