12101214400 has 168 divisors, whose sum is σ = 33098957424. Its totient is φ = 4317081600.

The previous prime is 12101214353. The next prime is 12101214401. The reversal of 12101214400 is 441210121.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12101214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926314 + ... + 939286.

Almost surely, 2^12101214400 is an apocalyptic number.

12101214400 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 12101214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16549478712).

12101214400 is an abundant number, since it is smaller than the sum of its proper divisors (20997743024).

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

12101214400 is a wasteful number, since it uses less digits than its factorization.

12101214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13059 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12101214400 its reverse (441210121), we get a palindrome (12542424521).

The spelling of 12101214400 in words is "twelve billion, one hundred one million, two hundred fourteen thousand, four hundred".