12142230100 has 288 divisors, whose sum is σ = 35757211392. Its totient is φ = 3456000000.

The previous prime is 12142230043. The next prime is 12142230101. The reversal of 12142230100 is 103224121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142230101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10109500 + ... + 10110700.

It is an arithmetic number, because the mean of its divisors is an integer number (124156984).

Almost surely, 2^12142230100 is an apocalyptic number.

12142230100 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 12142230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17878605696).

12142230100 is an abundant number, since it is smaller than the sum of its proper divisors (23614981292).

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

12142230100 is a wasteful number, since it uses less digits than its factorization.

12142230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12142230100 its reverse (103224121), we get a palindrome (12245454221).

It can be divided in two parts, 12142 and 230100, that added together give a palindrome (242242).

The spelling of 12142230100 in words is "twelve billion, one hundred forty-two million, two hundred thirty thousand, one hundred".