122391652968 has 512 divisors, whose sum is σ = 391910400000. Its totient is φ = 35106711552.

The previous prime is 122391652967. The next prime is 122391652969. The reversal of 122391652968 is 869256193221.

122391652968 is a `hidden beast` number, since 1 + 2 + 23 + 91 + 6 + 529 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (122391652967) and next prime (122391652969).

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

It is not an unprimeable number, because it can be changed into a prime (122391652967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 615033333 + ... + 615033531.

It is an arithmetic number, because the mean of its divisors is an integer number (765450000).

Almost surely, 2^122391652968 is an apocalyptic number.

122391652968 is a gapful number since it is divisible by the number (18) 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 122391652968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200000).

122391652968 is an abundant number, since it is smaller than the sum of its proper divisors (269518747032).

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

122391652968 is a wasteful number, since it uses less digits than its factorization.

122391652968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 122391652968 in words is "one hundred twenty-two billion, three hundred ninety-one million, six hundred fifty-two thousand, nine hundred sixty-eight".