12400104400 has 120 divisors (see below), whose sum is σ = 30366085464. Its totient is φ = 4864819200.

The previous prime is 12400104361. The next prime is 12400104427. The reversal of 12400104400 is 440100421.

It can be written as a sum of positive squares in 12 ways, for example, as 3094029376 + 9306075024 = 55624^2 + 96468^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14468772 + ... + 14469628.

Almost surely, 2^12400104400 is an apocalyptic number.

12400104400 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 12400104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183042732).

12400104400 is an abundant number, since it is smaller than the sum of its proper divisors (17965981064).

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

12400104400 is a wasteful number, since it uses less digits than its factorization.

12400104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12400104400 its reverse (440100421), we get a palindrome (12840204821).

The spelling of 12400104400 in words is "twelve billion, four hundred million, one hundred four thousand, four hundred".