122672672208 has 160 divisors (see below), whose sum is σ = 372064281600. Its totient is φ = 38590763904.

The previous prime is 122672672191. The next prime is 122672672219. The reversal of 122672672208 is 802276276221.

122672672208 is a `hidden beast` number, since 122 + 67 + 267 + 2 + 208 = 666.

122672672208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2130291 + ... + 2187117.

It is an arithmetic number, because the mean of its divisors is an integer number (2325401760).

Almost surely, 2^122672672208 is an apocalyptic number.

122672672208 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 122672672208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186032140800).

122672672208 is an abundant number, since it is smaller than the sum of its proper divisors (249391609392).

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

122672672208 is a wasteful number, since it uses less digits than its factorization.

122672672208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57126 (or 57114 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 122672672208 in words is "one hundred twenty-two billion, six hundred seventy-two million, six hundred seventy-two thousand, two hundred eight".