12201402400 has 144 divisors (see below), whose sum is σ = 32575102560. Its totient is φ = 4425881600.

The previous prime is 12201402391. The next prime is 12201402431. The reversal of 12201402400 is 420410221.

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

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, 4108116 + ... + 4111084.

It is an arithmetic number, because the mean of its divisors is an integer number (226215990).

Almost surely, 2^12201402400 is an apocalyptic number.

12201402400 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 12201402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16287551280).

12201402400 is an abundant number, since it is smaller than the sum of its proper divisors (20373700160).

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

12201402400 is a wasteful number, since it uses less digits than its factorization.

12201402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3454 counting only the distinct ones).

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

Adding to 12201402400 its reverse (420410221), we get a palindrome (12621812621).

The spelling of 12201402400 in words is "twelve billion, two hundred one million, four hundred two thousand, four hundred".