211230233000 has 128 divisors (see below), whose sum is σ = 508893390720. Its totient is φ = 82018137600.

The previous prime is 211230232951. The next prime is 211230233003. The reversal of 211230233000 is 332032112.

It is a super-2 number, since 2×211230233000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211230233000.

It is not an unprimeable number, because it can be changed into a prime (211230233003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6993932 + ... + 7024068.

It is an arithmetic number, because the mean of its divisors is an integer number (3975729615).

Almost surely, 2^211230233000 is an apocalyptic number.

211230233000 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 211230233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254446695360).

211230233000 is an abundant number, since it is smaller than the sum of its proper divisors (297663157720).

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

211230233000 is a wasteful number, since it uses less digits than its factorization.

211230233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30364 (or 30350 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 211230233000 its reverse (332032112), we get a palindrome (211562265112).

The spelling of 211230233000 in words is "two hundred eleven billion, two hundred thirty million, two hundred thirty-three thousand".