12075200892 has 72 divisors (see below), whose sum is σ = 31111752672. Its totient is φ = 3948067200.

The previous prime is 12075200869. The next prime is 12075200899. The reversal of 12075200892 is 29800257021.

12075200892 is a `hidden beast` number, since 120 + 7 + 520 + 0 + 8 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12075200899) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491542 + ... + 515522.

It is an arithmetic number, because the mean of its divisors is an integer number (432107676).

Almost surely, 2^12075200892 is an apocalyptic number.

12075200892 is a gapful number since it is divisible by the number (12) 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 12075200892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15555876336).

12075200892 is an abundant number, since it is smaller than the sum of its proper divisors (19036551780).

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

12075200892 is a wasteful number, since it uses less digits than its factorization.

12075200892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24259 (or 24254 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12075200892 in words is "twelve billion, seventy-five million, two hundred thousand, eight hundred ninety-two".