201020311200 has 72 divisors (see below), whose sum is σ = 654321120768. Its totient is φ = 53605415680.

The previous prime is 201020311199. The next prime is 201020311207. The reversal of 201020311200 is 2113020102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201020311207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41876832 + ... + 41881631.

It is an arithmetic number, because the mean of its divisors is an integer number (9087793344).

Almost surely, 2^201020311200 is an apocalyptic number.

201020311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020311200 is an abundant number, since it is smaller than the sum of its proper divisors (453300809568).

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

201020311200 is a wasteful number, since it uses less digits than its factorization.

201020311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83758486 (or 83758473 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201020311200 its reverse (2113020102), we get a palindrome (203133331302).

The spelling of 201020311200 in words is "two hundred one billion, twenty million, three hundred eleven thousand, two hundred".