122023011100122 has 256 divisors, whose sum is σ = 313296657408000. Its totient is φ = 35307224265600.

The previous prime is 122023011100121. The next prime is 122023011100141. The reversal of 122023011100122 is 221001110320221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122023011100095 and 122023011100104.

It is not an unprimeable number, because it can be changed into a prime (122023011100121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92057629 + ... + 93373727.

It is an arithmetic number, because the mean of its divisors is an integer number (1223815068000).

Almost surely, 2^{122023011100122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122023011100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156648328704000).

122023011100122 is an abundant number, since it is smaller than the sum of its proper divisors (191273646307878).

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

122023011100122 is a wasteful number, since it uses less digits than its factorization.

122023011100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316221 (or 1316203 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122023011100122 its reverse (221001110320221), we get a palindrome (343024121420343).

The spelling of 122023011100122 in words is "one hundred twenty-two trillion, twenty-three billion, eleven million, one hundred thousand, one hundred twenty-two".