211411200000 has 1728 divisors, whose sum is σ = 953050250880. Its totient is φ = 40550400000.

The previous prime is 211411199941. The next prime is 211411200019. The reversal of 211411200000 is 2114112.

It is a happy number.

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 143 ways as a sum of consecutive naturals, for example, 16262399994 + ... + 16262400006.

It is an arithmetic number, because the mean of its divisors is an integer number (551533710).

Almost surely, 2^211411200000 is an apocalyptic number.

211411200000 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 211411200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476525125440).

211411200000 is an abundant number, since it is smaller than the sum of its proper divisors (741639050880).

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

211411200000 is an equidigital number, since it uses as much as digits as its factorization.

211411200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211411200000 its reverse (2114112), we get a palindrome (211413314112).

211411200000 divided by its reverse (2114112) gives a 5-th power (100000 = 10⁵).

The spelling of 211411200000 in words is "two hundred eleven billion, four hundred eleven million, two hundred thousand".