201211320000000 has 1280 divisors, whose sum is σ = 723236770384128. Its totient is φ = 49520640000000.

The previous prime is 201211319999981. The next prime is 201211320000071. The reversal of 201211320000000 is 23112102.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×201211320000000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108119999070 + ... + 108120000930.

Almost surely, 2^{201211320000000} is an apocalyptic number.

201211320000000 is a gapful number since it is divisible by the number (20) 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 201211320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361618385192064).

201211320000000 is an abundant number, since it is smaller than the sum of its proper divisors (522025450384128).

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

201211320000000 is an frugal number, since it uses more digits than its factorization.

201211320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1941 counting only the distinct ones).

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

Adding to 201211320000000 its reverse (23112102), we get a palindrome (201211343112102).

The spelling of 201211320000000 in words is "two hundred one trillion, two hundred eleven billion, three hundred twenty million", and thus it is an aban number.