201111312000 has 128 divisors (see below), whose sum is σ = 666684158400. Its totient is φ = 53629670400.

The previous prime is 201111311993. The next prime is 201111312011. The reversal of 201111312000 is 213111102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×201111312000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2046910 + ... + 2142909.

Almost surely, 2^201111312000 is an apocalyptic number.

201111312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201111312000 is an abundant number, since it is smaller than the sum of its proper divisors (465572846400).

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

201111312000 is an equidigital number, since it uses as much as digits as its factorization.

201111312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189851 (or 4189829 counting only the distinct ones).

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

Adding to 201111312000 its reverse (213111102), we get a palindrome (201324423102).

The spelling of 201111312000 in words is "two hundred one billion, one hundred eleven million, three hundred twelve thousand".