12100414032 has 120 divisors (see below), whose sum is σ = 38767233024. Its totient is φ = 3451444992.

The previous prime is 12100414019. The next prime is 12100414033. The reversal of 12100414032 is 23041400121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12100413996 and 12100414014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100414033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608113 + ... + 627695.

Almost surely, 2^12100414032 is an apocalyptic number.

12100414032 is a gapful number since it is divisible by the number (12) 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 12100414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19383616512).

12100414032 is an abundant number, since it is smaller than the sum of its proper divisors (26666818992).

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

12100414032 is a wasteful number, since it uses less digits than its factorization.

12100414032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20217 (or 20208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12100414032 its reverse (23041400121), we get a palindrome (35141814153).

The spelling of 12100414032 in words is "twelve billion, one hundred million, four hundred fourteen thousand, thirty-two".