12936037120 has 288 divisors, whose sum is σ = 34359607296. Its totient is φ = 4644864000.

The previous prime is 12936037117. The next prime is 12936037129. The reversal of 12936037120 is 2173063921.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (12936037129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85669045 + ... + 85669195.

It is an arithmetic number, because the mean of its divisors is an integer number (119304192).

Almost surely, 2^12936037120 is an apocalyptic number.

12936037120 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 12936037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17179803648).

12936037120 is an abundant number, since it is smaller than the sum of its proper divisors (21423570176).

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

12936037120 is a wasteful number, since it uses less digits than its factorization.

12936037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The spelling of 12936037120 in words is "twelve billion, nine hundred thirty-six million, thirty-seven thousand, one hundred twenty".