122945558064 has 240 divisors, whose sum is σ = 376488403200. Its totient is φ = 33865689600.

The previous prime is 122945558063. The next prime is 122945558111. The reversal of 122945558064 is 460855549221.

122945558064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122945558064² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122945557998 and 122945558016.

It is not an unprimeable number, because it can be changed into a prime (122945558063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112690159 + ... + 112691249.

It is an arithmetic number, because the mean of its divisors is an integer number (1568701680).

Almost surely, 2^122945558064 is an apocalyptic number.

122945558064 is a gapful number since it is divisible by the number (14) 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 122945558064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188244201600).

122945558064 is an abundant number, since it is smaller than the sum of its proper divisors (253542845136).

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

122945558064 is a wasteful number, since it uses less digits than its factorization.

122945558064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 122945558064 in words is "one hundred twenty-two billion, nine hundred forty-five million, five hundred fifty-eight thousand, sixty-four".