12002100400 has 60 divisors (see below), whose sum is σ = 28933741872. Its totient is φ = 4784408320.

The previous prime is 12002100379. The next prime is 12002100401. The reversal of 12002100400 is 400120021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12002100401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65997 + ... + 168403.

Almost surely, 2^12002100400 is an apocalyptic number.

12002100400 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 12002100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466870936).

12002100400 is an abundant number, since it is smaller than the sum of its proper divisors (16931641472).

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

12002100400 is a wasteful number, since it uses less digits than its factorization.

12002100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102718 (or 102707 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12002100400 its reverse (400120021), we get a palindrome (12402220421).

The spelling of 12002100400 in words is "twelve billion, two million, one hundred thousand, four hundred".