12240114432100 has 36 divisors (see below), whose sum is σ = 28123462928484. Its totient is φ = 4608043079680.

The previous prime is 12240114432097. The next prime is 12240114432149. The reversal of 12240114432100 is 123441104221.

12240114432100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 957340919844 + 11282773512256 = 978438^2 + 3358984^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 3600031957 + ... + 3600035356.

It is an arithmetic number, because the mean of its divisors is an integer number (781207303569).

Almost surely, 2^{12240114432100} is an apocalyptic number.

12240114432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12240114432100 is an abundant number, since it is smaller than the sum of its proper divisors (15883348496384).

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

12240114432100 is a wasteful number, since it uses less digits than its factorization.

12240114432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7200067344 (or 7200067337 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 12240114432100 its reverse (123441104221), we get a palindrome (12363555536321).

The spelling of 12240114432100 in words is "twelve trillion, two hundred forty billion, one hundred fourteen million, four hundred thirty-two thousand, one hundred".