12109006400 has 168 divisors, whose sum is σ = 30919119264. Its totient is φ = 4664217600.

The previous prime is 12109006367. The next prime is 12109006409. The reversal of 12109006400 is 460090121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12109006409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5021195 + ... + 5023605.

Almost surely, 2^12109006400 is an apocalyptic number.

12109006400 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 12109006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15459559632).

12109006400 is an abundant number, since it is smaller than the sum of its proper divisors (18810112864).

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

12109006400 is a wasteful number, since it uses less digits than its factorization.

12109006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 12109006400 its reverse (460090121), we get a palindrome (12569096521).

The spelling of 12109006400 in words is "twelve billion, one hundred nine million, six thousand, four hundred".