12100877712 has 600 divisors, whose sum is σ = 47105958240. Its totient is φ = 2955294720.

The previous prime is 12100877707. The next prime is 12100877731. The reversal of 12100877712 is 21777800121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11874739 + ... + 11875757.

Almost surely, 2^12100877712 is an apocalyptic number.

12100877712 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 12100877712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23552979120).

12100877712 is an abundant number, since it is smaller than the sum of its proper divisors (35005080528).

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

12100877712 is a wasteful number, since it uses less digits than its factorization.

12100877712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The spelling of 12100877712 in words is "twelve billion, one hundred million, eight hundred seventy-seven thousand, seven hundred twelve".