12102202400 has 72 divisors (see below), whose sum is σ = 29654859780. Its totient is φ = 4822799360.

The previous prime is 12102202393. The next prime is 12102202417. The reversal of 12102202400 is 420220121.

It can be written as a sum of positive squares in 6 ways, for example, as 1853474704 + 10248727696 = 43052^2 + 101236^2 .

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, 187082 + ... + 243318.

Almost surely, 2^12102202400 is an apocalyptic number.

12102202400 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 12102202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14827429890).

12102202400 is an abundant number, since it is smaller than the sum of its proper divisors (17552657380).

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

12102202400 is a wasteful number, since it uses less digits than its factorization.

12102202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56526 (or 56513 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12102202400 its reverse (420220121), we get a palindrome (12522422521).

The spelling of 12102202400 in words is "twelve billion, one hundred two million, two hundred two thousand, four hundred".