12135223100 has 432 divisors, whose sum is σ = 36306676224. Its totient is φ = 3425241600.

The previous prime is 12135223097. The next prime is 12135223117. The reversal of 12135223100 is 132253121.

It is a super-2 number, since 2×12135223100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113413247 + ... + 113413353.

It is an arithmetic number, because the mean of its divisors is an integer number (84043232).

Almost surely, 2^12135223100 is an apocalyptic number.

12135223100 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 12135223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18153338112).

12135223100 is an abundant number, since it is smaller than the sum of its proper divisors (24171453124).

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

12135223100 is a wasteful number, since it uses less digits than its factorization.

12135223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 12135223100 its reverse (132253121), we get a palindrome (12267476221).

The spelling of 12135223100 in words is "twelve billion, one hundred thirty-five million, two hundred twenty-three thousand, one hundred".