211312220200 has 384 divisors, whose sum is σ = 559370448000. Its totient is φ = 73764864000.

The previous prime is 211312220179. The next prime is 211312220233. The reversal of 211312220200 is 2022213112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 906919284 + ... + 906919516.

It is an arithmetic number, because the mean of its divisors is an integer number (1456693875).

Almost surely, 2^211312220200 is an apocalyptic number.

211312220200 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 211312220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279685224000).

211312220200 is an abundant number, since it is smaller than the sum of its proper divisors (348058227800).

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

211312220200 is a wasteful number, since it uses less digits than its factorization.

211312220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 211312220200 its reverse (2022213112), we get a palindrome (213334433312).

The spelling of 211312220200 in words is "two hundred eleven billion, three hundred twelve million, two hundred twenty thousand, two hundred".