122878017645760 has 112 divisors (see below), whose sum is σ = 315118522940256. Its totient is φ = 45369294077952.

The previous prime is 122878017645701. The next prime is 122878017645767. The reversal of 122878017645760 is 67546710878221.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 122878017645692 and 122878017645701.

It is not an unprimeable number, because it can be changed into a prime (122878017645767) by changing a digit.

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, 192318184 + ... + 192956056.

It is an arithmetic number, because the mean of its divisors is an integer number (2813558240538).

Almost surely, 2^{122878017645760} is an apocalyptic number.

122878017645760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122878017645760 is an abundant number, since it is smaller than the sum of its proper divisors (192240505294496).

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

122878017645760 is a wasteful number, since it uses less digits than its factorization.

122878017645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684210 (or 684200 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 64.

The spelling of 122878017645760 in words is "one hundred twenty-two trillion, eight hundred seventy-eight billion, seventeen million, six hundred forty-five thousand, seven hundred sixty".