123533122400 has 72 divisors (see below), whose sum is σ = 302641426584. Its totient is φ = 49238553600.

The previous prime is 123533122399. The next prime is 123533122411. The reversal of 123533122400 is 4221335321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 123533122400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46421 + ... + 499220.

It is an arithmetic number, because the mean of its divisors is an integer number (4203353147).

Almost surely, 2^123533122400 is an apocalyptic number.

123533122400 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 123533122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151320713292).

123533122400 is an abundant number, since it is smaller than the sum of its proper divisors (179108304184).

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

123533122400 is a wasteful number, since it uses less digits than its factorization.

123533122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545944 (or 545931 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 123533122400 its reverse (4221335321), we get a palindrome (127754457721).

The spelling of 123533122400 in words is "one hundred twenty-three billion, five hundred thirty-three million, one hundred twenty-two thousand, four hundred".