122561712 has 240 divisors, whose sum is σ = 433305600. Its totient is φ = 31477248.

The previous prime is 122561711. The next prime is 122561729. The reversal of 122561712 is 217165221.

122561712 is a `hidden beast` number, since 12 + 25 + 617 + 12 = 666.

Its product of digits (1680) is a multiple of the sum of its prime factors (280).

It is not an unprimeable number, because it can be changed into a prime (122561711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615789 + ... + 615987.

It is an arithmetic number, because the mean of its divisors is an integer number (1805440).

Almost surely, 2^122561712 is an apocalyptic number.

122561712 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 122561712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216652800).

122561712 is an abundant number, since it is smaller than the sum of its proper divisors (310743888).

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

122561712 is a wasteful number, since it uses less digits than its factorization.

122561712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 122561712 is about 11070.7593235514. The cubic root of 122561712 is about 496.7275785740.

The spelling of 122561712 in words is "one hundred twenty-two million, five hundred sixty-one thousand, seven hundred twelve".