122923827840 has 256 divisors, whose sum is σ = 427879065600. Its totient is φ = 29769093120.

The previous prime is 122923827833. The next prime is 122923827877. The reversal of 122923827840 is 48728329221.

It is a super-2 number, since 2×122923827840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 122923827840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25827381 + ... + 25832139.

It is an arithmetic number, because the mean of its divisors is an integer number (1671402600).

Almost surely, 2^122923827840 is an apocalyptic number.

122923827840 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 122923827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213939532800).

122923827840 is an abundant number, since it is smaller than the sum of its proper divisors (304955237760).

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

122923827840 is a wasteful number, since it uses less digits than its factorization.

122923827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6015 (or 6003 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 122923827840 in words is "one hundred twenty-two billion, nine hundred twenty-three million, eight hundred twenty-seven thousand, eight hundred forty".