122668896 has 96 divisors (see below), whose sum is σ = 369895680. Its totient is φ = 34868736.

The previous prime is 122668877. The next prime is 122668907. The reversal of 122668896 is 698866221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a congruent number.

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, 185815 + ... + 186473.

It is an arithmetic number, because the mean of its divisors is an integer number (3853080).

Almost surely, 2^122668896 is an apocalyptic number.

122668896 is a gapful number since it is divisible by the number (16) 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 122668896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184947840).

122668896 is an abundant number, since it is smaller than the sum of its proper divisors (247226784).

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

122668896 is a wasteful number, since it uses less digits than its factorization.

122668896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 948 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 122668896 is about 11075.5991260067. The cubic root of 122668896 is about 496.8723375831.

The spelling of 122668896 in words is "one hundred twenty-two million, six hundred sixty-eight thousand, eight hundred ninety-six".