122724866880 has 2016 divisors, whose sum is σ = 587797534080. Its totient is φ = 23828152320.

The previous prime is 122724866857. The next prime is 122724866881. The reversal of 122724866880 is 88668427221.

122724866880 is a `hidden beast` number, since 1 + 2 + 27 + 2 + 486 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×122724866880² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122724866881) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1681162524 + ... + 1681162596.

Almost surely, 2^122724866880 is an apocalyptic number.

122724866880 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 122724866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293898767040).

122724866880 is an abundant number, since it is smaller than the sum of its proper divisors (465072667200).

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

122724866880 is a wasteful number, since it uses less digits than its factorization.

122724866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 122724866880 in words is "one hundred twenty-two billion, seven hundred twenty-four million, eight hundred sixty-six thousand, eight hundred eighty".