122946785280 has 1664 divisors, whose sum is σ = 535023014400. Its totient is φ = 26424115200.

The previous prime is 122946785279. The next prime is 122946785281. The reversal of 122946785280 is 82587649221.

122946785280 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 46 + 78 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122946785279) and next prime (122946785281).

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 (122946785281) 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, 2998702060 + ... + 2998702100.

Almost surely, 2^122946785280 is an apocalyptic number.

122946785280 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 122946785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267511507200).

122946785280 is an abundant number, since it is smaller than the sum of its proper divisors (412076229120).

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

122946785280 is a wasteful number, since it uses less digits than its factorization.

122946785280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 122946785280 in words is "one hundred twenty-two billion, nine hundred forty-six million, seven hundred eighty-five thousand, two hundred eighty".