122630478768 has 480 divisors, whose sum is σ = 425941993920. Its totient is φ = 34072690176.

The previous prime is 122630478749. The next prime is 122630478791. The reversal of 122630478768 is 867874036221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63439530 + ... + 63441462.

It is an arithmetic number, because the mean of its divisors is an integer number (887379154).

Almost surely, 2^122630478768 is an apocalyptic number.

122630478768 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 122630478768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212970996960).

122630478768 is an abundant number, since it is smaller than the sum of its proper divisors (303311515152).

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

122630478768 is an equidigital number, since it uses as much as digits as its factorization.

122630478768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 122630478768 in words is "one hundred twenty-two billion, six hundred thirty million, four hundred seventy-eight thousand, seven hundred sixty-eight".