12000201000 has 64 divisors (see below), whose sum is σ = 37440636480. Its totient is φ = 3200052800.

The previous prime is 12000200981. The next prime is 12000201007. The reversal of 12000201000 is 10200021.

It is a happy number.

It is a super-3 number, since 3×12000201000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12000201000.

It is not an unprimeable number, because it can be changed into a prime (12000201007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1997034 + ... + 2003033.

It is an arithmetic number, because the mean of its divisors is an integer number (585009945).

Almost surely, 2^12000201000 is an apocalyptic number.

12000201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000201000 is an abundant number, since it is smaller than the sum of its proper divisors (25440435480).

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

12000201000 is a wasteful number, since it uses less digits than its factorization.

12000201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000091 (or 4000077 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12000201000 its reverse (10200021), we get a palindrome (12010401021).

The spelling of 12000201000 in words is "twelve billion, two hundred one thousand".