211201200000 has 1728 divisors, whose sum is σ = 954037375200. Its totient is φ = 43868160000.

The previous prime is 211201199899. The next prime is 211201200011. The reversal of 211201200000 is 2102112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7282799986 + ... + 7282800014.

Almost surely, 2^211201200000 is an apocalyptic number.

211201200000 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 211201200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477018687600).

211201200000 is an abundant number, since it is smaller than the sum of its proper divisors (742836175200).

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

211201200000 is an equidigital number, since it uses as much as digits as its factorization.

211201200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211201200000 its reverse (2102112), we get a palindrome (211203302112).

The spelling of 211201200000 in words is "two hundred eleven billion, two hundred one million, two hundred thousand".