122117667126 has 96 divisors (see below), whose sum is σ = 308110113024. Its totient is φ = 31421088000.

The previous prime is 122117667097. The next prime is 122117667127. The reversal of 122117667126 is 621766711221.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122117667127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 851301 + ... + 984351.

It is an arithmetic number, because the mean of its divisors is an integer number (3209480344).

Almost surely, 2^122117667126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122117667126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154055056512).

122117667126 is an abundant number, since it is smaller than the sum of its proper divisors (185992445898).

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

122117667126 is a wasteful number, since it uses less digits than its factorization.

122117667126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133158 (or 133117 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The spelling of 122117667126 in words is "one hundred twenty-two billion, one hundred seventeen million, six hundred sixty-seven thousand, one hundred twenty-six".