123265661251122 has 384 divisors, whose sum is σ = 331157570365440. Its totient is φ = 32702466908160.

The previous prime is 123265661251121. The next prime is 123265661251129. The reversal of 123265661251122 is 221152166562321.

123265661251122 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 6 + 5 + 6 + 612 + 5 + 1 + 1 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (123265661251121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3216977508 + ... + 3217015824.

It is an arithmetic number, because the mean of its divisors is an integer number (862389506160).

Almost surely, 2^{123265661251122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123265661251122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165578785182720).

123265661251122 is an abundant number, since it is smaller than the sum of its proper divisors (207891909114318).

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

123265661251122 is a wasteful number, since it uses less digits than its factorization.

123265661251122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39778 (or 39775 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 123265661251122 in words is "one hundred twenty-three trillion, two hundred sixty-five billion, six hundred sixty-one million, two hundred fifty-one thousand, one hundred twenty-two".