122728647312 has 320 divisors, whose sum is σ = 373122547200. Its totient is φ = 38547210240.

The previous prime is 122728647271. The next prime is 122728647341. The reversal of 122728647312 is 213746827221.

122728647312 is a `hidden beast` number, since 1 + 2 + 272 + 8 + 64 + 7 + 312 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315497614 + ... + 315498002.

It is an arithmetic number, because the mean of its divisors is an integer number (1166007960).

Almost surely, 2^122728647312 is an apocalyptic number.

122728647312 is a gapful number since it is divisible by the number (12) 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 122728647312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186561273600).

122728647312 is an abundant number, since it is smaller than the sum of its proper divisors (250393899888).

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

122728647312 is a wasteful number, since it uses less digits than its factorization.

122728647312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 811 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 122728647312 in words is "one hundred twenty-two billion, seven hundred twenty-eight million, six hundred forty-seven thousand, three hundred twelve".