123322234432100 has 432 divisors, whose sum is σ = 299996068554000. Its totient is φ = 43963814400000.

The previous prime is 123322234432043. The next prime is 123322234432151. The reversal of 123322234432100 is 1234432223321.

It can be written as a sum of positive squares in 24 ways, for example, as 118274151153664 + 5048083278436 = 10875392^2 + 2246794^2 .

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 143 ways as a sum of consecutive naturals, for example, 70834137230 + ... + 70834138970.

It is an arithmetic number, because the mean of its divisors is an integer number (694435343875).

Almost surely, 2^{123322234432100} is an apocalyptic number.

123322234432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123322234432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149998034277000).

123322234432100 is an abundant number, since it is smaller than the sum of its proper divisors (176673834121900).

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

123322234432100 is a wasteful number, since it uses less digits than its factorization.

123322234432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 123322234432100 its reverse (1234432223321), we get a palindrome (124556666655421).

It can be divided in two parts, 123 and 322234432100, that added together give a palindrome (322234432223).

The spelling of 123322234432100 in words is "one hundred twenty-three trillion, three hundred twenty-two billion, two hundred thirty-four million, four hundred thirty-two thousand, one hundred".