122687278560 has 1152 divisors, whose sum is σ = 547796680704. Its totient is φ = 25189263360.

The previous prime is 122687278531. The next prime is 122687278579. The reversal of 122687278560 is 65872786221.

122687278560 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 8 + 7 + 2 + 78 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 122687278497 and 122687278506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 320332129 + ... + 320332511.

It is an arithmetic number, because the mean of its divisors is an integer number (475517952).

Almost surely, 2^122687278560 is an apocalyptic number.

122687278560 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 122687278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273898340352).

122687278560 is an abundant number, since it is smaller than the sum of its proper divisors (425109402144).

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

122687278560 is a wasteful number, since it uses less digits than its factorization.

122687278560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 122687278560 in words is "one hundred twenty-two billion, six hundred eighty-seven million, two hundred seventy-eight thousand, five hundred sixty".