122516712 has 192 divisors, whose sum is σ = 377395200. Its totient is φ = 37091520.

The previous prime is 122516707. The next prime is 122516741. The reversal of 122516712 is 217615221.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1144963 + ... + 1145069.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^122516712 is an apocalyptic number.

122516712 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 122516712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

122516712 is an abundant number, since it is smaller than the sum of its proper divisors (254878488).

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

122516712 is a wasteful number, since it uses less digits than its factorization.

122516712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

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

The square root of 122516712 is about 11068.7267560456. The cubic root of 122516712 is about 496.6667779729. Note that the first 3 decimals are identical.

The spelling of 122516712 in words is "one hundred twenty-two million, five hundred sixteen thousand, seven hundred twelve".