211201120000 has 360 divisors, whose sum is σ = 577277149680. Its totient is φ = 76615680000.

The previous prime is 211201119917. The next prime is 211201120003. The reversal of 211201120000 is 21102112.

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 (211201120003) 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, 122719140 + ... + 122720860.

It is an arithmetic number, because the mean of its divisors is an integer number (1603547638).

Almost surely, 2^211201120000 is an apocalyptic number.

211201120000 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 211201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288638574840).

211201120000 is an abundant number, since it is smaller than the sum of its proper divisors (366076029680).

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

211201120000 is an equidigital number, since it uses as much as digits as its factorization.

211201120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1800 counting only the distinct ones).

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

Adding to 211201120000 its reverse (21102112), we get a palindrome (211222222112).

The spelling of 211201120000 in words is "two hundred eleven billion, two hundred one million, one hundred twenty thousand".