122167656 has 128 divisors (see below), whose sum is σ = 369264000. Its totient is φ = 37200384.

The previous prime is 122167631. The next prime is 122167657. The reversal of 122167656 is 656761221.

It is a happy number.

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

Its product of digits (30240) is a multiple of the sum of its prime factors (480).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 122167656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122167657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390156 + ... + 390468.

It is an arithmetic number, because the mean of its divisors is an integer number (2884875).

Almost surely, 2^122167656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122167656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184632000).

122167656 is an abundant number, since it is smaller than the sum of its proper divisors (247096344).

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

122167656 is a wasteful number, since it uses less digits than its factorization.

122167656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 122167656 is about 11052.9478420917. The cubic root of 122167656 is about 496.1946534810.

The spelling of 122167656 in words is "one hundred twenty-two million, one hundred sixty-seven thousand, six hundred fifty-six".