12072537300 has 144 divisors (see below), whose sum is σ = 37127068160. Its totient is φ = 3020146560.

The previous prime is 12072537293. The next prime is 12072537353. The reversal of 12072537300 is 373527021.

12072537300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576819 + ... + 597381.

Almost surely, 2^12072537300 is an apocalyptic number.

12072537300 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 12072537300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18563534080).

12072537300 is an abundant number, since it is smaller than the sum of its proper divisors (25054530860).

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

12072537300 is a wasteful number, since it uses less digits than its factorization.

12072537300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20702 (or 20695 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The spelling of 12072537300 in words is "twelve billion, seventy-two million, five hundred thirty-seven thousand, three hundred".