12036762100 has 144 divisors (see below), whose sum is σ = 29276001216. Its totient is φ = 4257792000.

The previous prime is 12036762097. The next prime is 12036762121. The reversal of 12036762100 is 126763021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18777780 + ... + 18778420.

It is an arithmetic number, because the mean of its divisors is an integer number (203305564).

Almost surely, 2^12036762100 is an apocalyptic number.

12036762100 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 12036762100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638000608).

12036762100 is an abundant number, since it is smaller than the sum of its proper divisors (17239239116).

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

12036762100 is a wasteful number, since it uses less digits than its factorization.

12036762100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 12036762100 in words is "twelve billion, thirty-six million, seven hundred sixty-two thousand, one hundred".