211133112000 has 224 divisors, whose sum is σ = 697914946560. Its totient is φ = 56241331200.

The previous prime is 211133111999. The next prime is 211133112011. The reversal of 211133112000 is 211331112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24931767 + ... + 24940233.

Almost surely, 2^211133112000 is an apocalyptic number.

211133112000 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 211133112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348957473280).

211133112000 is an abundant number, since it is smaller than the sum of its proper divisors (486781834560).

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

211133112000 is a wasteful number, since it uses less digits than its factorization.

211133112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9536 (or 9516 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 211133112000 its reverse (211331112), we get a palindrome (211344443112).

The spelling of 211133112000 in words is "two hundred eleven billion, one hundred thirty-three million, one hundred twelve thousand".