12012577500 has 720 divisors, whose sum is σ = 46162823168. Its totient is φ = 2376000000.

The previous prime is 12012577477. The next prime is 12012577501. The reversal of 12012577500 is 577521021.

12012577500 is a nontrivial binomial coefficient, being equal to C(155001, 2).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012577501) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 196927470 + ... + 196927530.

Almost surely, 2^12012577500 is an apocalyptic number.

12012577500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12012577500 is the 155000-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012577500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23081411584).

12012577500 is an abundant number, since it is smaller than the sum of its proper divisors (34150245668).

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

12012577500 is a wasteful number, since it uses less digits than its factorization.

12012577500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

It can be divided in two parts, 120 and 12577500, that added together give a triangular number (12577620 = T₅₀₁₅).

The spelling of 12012577500 in words is "twelve billion, twelve million, five hundred seventy-seven thousand, five hundred".