12136671120 has 320 divisors, whose sum is σ = 44573147136. Its totient is φ = 2673285120.

The previous prime is 12136671101. The next prime is 12136671133. The reversal of 12136671120 is 2117663121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20675467 + ... + 20676053.

Almost surely, 2^12136671120 is an apocalyptic number.

12136671120 is a gapful number since it is divisible by the number (10) 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 12136671120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22286573568).

12136671120 is an abundant number, since it is smaller than the sum of its proper divisors (32436476016).

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

12136671120 is a wasteful number, since it uses less digits than its factorization.

12136671120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 12136671120 in words is "twelve billion, one hundred thirty-six million, six hundred seventy-one thousand, one hundred twenty".