12101667136 has 112 divisors (see below), whose sum is σ = 26345692800. Its totient is φ = 5481584640.

The previous prime is 12101667103. The next prime is 12101667139. The reversal of 12101667136 is 63176610121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101667139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20615835 + ... + 20616421.

It is an arithmetic number, because the mean of its divisors is an integer number (235229400).

Almost surely, 2^12101667136 is an apocalyptic number.

12101667136 is a gapful number since it is divisible by the number (16) 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 12101667136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172846400).

12101667136 is an abundant number, since it is smaller than the sum of its proper divisors (14244025664).

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

12101667136 is a wasteful number, since it uses less digits than its factorization.

12101667136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 12101667136 in words is "twelve billion, one hundred one million, six hundred sixty-seven thousand, one hundred thirty-six".