123322004400 has 360 divisors, whose sum is σ = 461224092864. Its totient is φ = 28084492800.

The previous prime is 123322004357. The next prime is 123322004453. The reversal of 123322004400 is 4400223321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16636695 + ... + 16644105.

Almost surely, 2^123322004400 is an apocalyptic number.

123322004400 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 123322004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230612046432).

123322004400 is an abundant number, since it is smaller than the sum of its proper divisors (337902088464).

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

123322004400 is a wasteful number, since it uses less digits than its factorization.

123322004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7729 (or 7711 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 123322004400 its reverse (4400223321), we get a palindrome (127722227721).

The spelling of 123322004400 in words is "one hundred twenty-three billion, three hundred twenty-two million, four thousand, four hundred".