12100012128 has 72 divisors (see below), whose sum is σ = 34445429928. Its totient is φ = 4029115392.

The previous prime is 12100012103. The next prime is 12100012129. The reversal of 12100012128 is 82121000121.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12100012128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100012129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259875 + ... + 302877.

It is an arithmetic number, because the mean of its divisors is an integer number (478408749).

Almost surely, 2^12100012128 is an apocalyptic number.

12100012128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12100012128 is an abundant number, since it is smaller than the sum of its proper divisors (22345417800).

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

12100012128 is a wasteful number, since it uses less digits than its factorization.

12100012128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43996 (or 43985 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12100012128 its reverse (82121000121), we get a palindrome (94221012249).

The spelling of 12100012128 in words is "twelve billion, one hundred million, twelve thousand, one hundred twenty-eight".