122926145664 has 256 divisors, whose sum is σ = 379657774080. Its totient is φ = 34513661952.

The previous prime is 122926145599. The next prime is 122926145687. The reversal of 122926145664 is 466541629221.

It is a super-2 number, since 2×122926145664² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139213767 + ... + 139214649.

It is an arithmetic number, because the mean of its divisors is an integer number (1483038180).

Almost surely, 2^122926145664 is an apocalyptic number.

122926145664 is a gapful number since it is divisible by the number (14) 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 122926145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189828887040).

122926145664 is an abundant number, since it is smaller than the sum of its proper divisors (256731628416).

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

122926145664 is an equidigital number, since it uses as much as digits as its factorization.

122926145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1735 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 122926145664 in words is "one hundred twenty-two billion, nine hundred twenty-six million, one hundred forty-five thousand, six hundred sixty-four".