122276723657166 has 192 divisors, whose sum is σ = 311234680972800. Its totient is φ = 35494810281216.

The previous prime is 122276723657161. The next prime is 122276723657177. The reversal of 122276723657166 is 661756327672221.

122276723657166 is a `hidden beast` number, since 1 + 2 + 2 + 27 + 6 + 7 + 2 + 36 + 571 + 6 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122276723657161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11332465 + ... + 19312643.

It is an arithmetic number, because the mean of its divisors is an integer number (1621013963400).

Almost surely, 2^{122276723657166} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122276723657166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155617340486400).

122276723657166 is an abundant number, since it is smaller than the sum of its proper divisors (188957957315634).

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

122276723657166 is a wasteful number, since it uses less digits than its factorization.

122276723657166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7980312 (or 7980293 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 122276723657166 in words is "one hundred twenty-two trillion, two hundred seventy-six billion, seven hundred twenty-three million, six hundred fifty-seven thousand, one hundred sixty-six".