201200012000 has 96 divisors (see below), whose sum is σ = 532375369344. Its totient is φ = 74289216000.

The previous prime is 201200011939. The next prime is 201200012003. The reversal of 201200012000 is 210002102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201200012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1882616 + ... + 1986615.

It is an arithmetic number, because the mean of its divisors is an integer number (5545576764).

Almost surely, 2^201200012000 is an apocalyptic number.

201200012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200012000 is an abundant number, since it is smaller than the sum of its proper divisors (331175357344).

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

201200012000 is a wasteful number, since it uses less digits than its factorization.

201200012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869269 (or 3869251 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 201200012000 its reverse (210002102), we get a palindrome (201410014102).

The spelling of 201200012000 in words is "two hundred one billion, two hundred million, twelve thousand".