122707245312 has 108 divisors (see below), whose sum is σ = 354027391900. Its totient is φ = 40875577344.

The previous prime is 122707245179. The next prime is 122707245313. The reversal of 122707245312 is 213542707221.

122707245312 is a `hidden beast` number, since 1 + 2 + 270 + 72 + 4 + 5 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79469865216 + 43237380096 = 281904^2 + 207936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122707245313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3662814 + ... + 3696162.

Almost surely, 2^122707245312 is an apocalyptic number.

122707245312 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 122707245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177013695950).

122707245312 is an abundant number, since it is smaller than the sum of its proper divisors (231320146588).

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

122707245312 is a wasteful number, since it uses less digits than its factorization.

122707245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34968 (or 34951 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

It can be divided in two parts, 1227072 and 45312, that added together give a square (1272384 = 1128²).

The spelling of 122707245312 in words is "one hundred twenty-two billion, seven hundred seven million, two hundred forty-five thousand, three hundred twelve".