122568840 has 192 divisors, whose sum is σ = 422547840. Its totient is φ = 30750720.

The previous prime is 122568811. The next prime is 122568841. The reversal of 122568840 is 48865221.

122568840 is a `hidden beast` number, since 12 + 2 + 568 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122568795 and 122568804.

It is not an unprimeable number, because it can be changed into a prime (122568841) 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, 935575 + ... + 935705.

It is an arithmetic number, because the mean of its divisors is an integer number (2200770).

Almost surely, 2^122568840 is an apocalyptic number.

122568840 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 122568840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211273920).

122568840 is an abundant number, since it is smaller than the sum of its proper divisors (299979000).

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

122568840 is a wasteful number, since it uses less digits than its factorization.

122568840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 122568840 is about 11071.0812480083. The cubic root of 122568840 is about 496.7372080238.

The spelling of 122568840 in words is "one hundred twenty-two million, five hundred sixty-eight thousand, eight hundred forty".