12017779200 has 540 divisors, whose sum is σ = 50053579290. Its totient is φ = 2745630720.

The previous prime is 12017779199. The next prime is 12017779201. The reversal of 12017779200 is 297771021.

It is an interprime number because it is at equal distance from previous prime (12017779199) and next prime (12017779201).

It can be written as a sum of positive squares in 3 ways, for example, as 7456667904 + 4561111296 = 86352^2 + 67536^2 .

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 (12017779201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5643736 + ... + 5645864.

Almost surely, 2^12017779200 is an apocalyptic number.

12017779200 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 12017779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25026789645).

12017779200 is an abundant number, since it is smaller than the sum of its proper divisors (38035800090).

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

12017779200 is a wasteful number, since it uses less digits than its factorization.

12017779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The spelling of 12017779200 in words is "twelve billion, seventeen million, seven hundred seventy-nine thousand, two hundred".