12100120032 has 288 divisors, whose sum is σ = 42973410816. Its totient is φ = 2900874240.

The previous prime is 12100120031. The next prime is 12100120033. The reversal of 12100120032 is 23002100121.

It is an interprime number because it is at equal distance from previous prime (12100120031) and next prime (12100120033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100120031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1051333 + ... + 1062779.

It is an arithmetic number, because the mean of its divisors is an integer number (149213232).

Almost surely, 2^12100120032 is an apocalyptic number.

12100120032 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 12100120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21486705408).

12100120032 is an abundant number, since it is smaller than the sum of its proper divisors (30873290784).

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

12100120032 is a wasteful number, since it uses less digits than its factorization.

12100120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11502 (or 11483 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12100120032 its reverse (23002100121), we get a palindrome (35102220153).

The spelling of 12100120032 in words is "twelve billion, one hundred million, one hundred twenty thousand, thirty-two".