201211120000 has 320 divisors, whose sum is σ = 548797890960. Its totient is φ = 72852480000.

The previous prime is 201211119997. The next prime is 201211120003. The reversal of 201211120000 is 21112102.

It is an interprime number because it is at equal distance from previous prime (201211119997) and next prime (201211120003).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211120003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 328239694 + ... + 328240306.

Almost surely, 2^201211120000 is an apocalyptic number.

201211120000 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 201211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274398945480).

201211120000 is an abundant number, since it is smaller than the sum of its proper divisors (347586770960).

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

201211120000 is an equidigital number, since it uses as much as digits as its factorization.

201211120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201211120000 its reverse (21112102), we get a palindrome (201232232102).

The spelling of 201211120000 in words is "two hundred one billion, two hundred eleven million, one hundred twenty thousand".