122661648 has 80 divisors (see below), whose sum is σ = 364262400. Its totient is φ = 39473280.

The previous prime is 122661631. The next prime is 122661661. The reversal of 122661648 is 846166221.

122661648 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 6 + 1 + 648 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7633 + ... + 17423.

It is an arithmetic number, because the mean of its divisors is an integer number (4553280).

Almost surely, 2^122661648 is an apocalyptic number.

122661648 is a gapful number since it is divisible by the number (18) 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 122661648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182131200).

122661648 is an abundant number, since it is smaller than the sum of its proper divisors (241600752).

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

122661648 is a wasteful number, since it uses less digits than its factorization.

122661648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9837 (or 9825 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 122661648 is about 11075.2719153978. The cubic root of 122661648 is about 496.8625513435.

The spelling of 122661648 in words is "one hundred twenty-two million, six hundred sixty-one thousand, six hundred forty-eight".