211000233312 has 240 divisors, whose sum is σ = 686500303104. Its totient is φ = 63038304000.

The previous prime is 211000233307. The next prime is 211000233391. The reversal of 211000233312 is 213332000112.

211000233312 is a `hidden beast` number, since 21 + 100 + 0 + 233 + 312 = 666.

211000233312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×211000233312³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1972237 + ... + 2076467.

Almost surely, 2^211000233312 is an apocalyptic number.

211000233312 is a gapful number since it is divisible by the number (22) 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 211000233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343250151552).

211000233312 is an abundant number, since it is smaller than the sum of its proper divisors (475500069792).

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

211000233312 is a wasteful number, since it uses less digits than its factorization.

211000233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104335 (or 104318 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211000233312 its reverse (213332000112), we get a palindrome (424332233424).

The spelling of 211000233312 in words is "two hundred eleven billion, two hundred thirty-three thousand, three hundred twelve".