122123010032322 has 96 divisors (see below), whose sum is σ = 267224742896832. Its totient is φ = 37186319020032.

The previous prime is 122123010032297. The next prime is 122123010032339. The reversal of 122123010032322 is 223230010321221.

It is a junction number, because it is equal to n+sod(n) for n = 122123010032292 and 122123010032301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1768147233 + ... + 1768216299.

It is an arithmetic number, because the mean of its divisors is an integer number (2783591071842).

Almost surely, 2^{122123010032322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122123010032322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133612371448416).

122123010032322 is an abundant number, since it is smaller than the sum of its proper divisors (145101732864510).

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

122123010032322 is a wasteful number, since it uses less digits than its factorization.

122123010032322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87172 (or 87159 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122123010032322 its reverse (223230010321221), we get a palindrome (345353020353543).

The spelling of 122123010032322 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, ten million, thirty-two thousand, three hundred twenty-two".