211123003000 has 512 divisors, whose sum is σ = 667989504000. Its totient is φ = 60536678400.

The previous prime is 211123002991. The next prime is 211123003001. The reversal of 211123003000 is 300321112.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211123003001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39764346 + ... + 39769654.

It is an arithmetic number, because the mean of its divisors is an integer number (1304667000).

Almost surely, 2^211123003000 is an apocalyptic number.

211123003000 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 211123003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333994752000).

211123003000 is an abundant number, since it is smaller than the sum of its proper divisors (456866501000).

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

211123003000 is a wasteful number, since it uses less digits than its factorization.

211123003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 211123003000 its reverse (300321112), we get a palindrome (211423324112).

The spelling of 211123003000 in words is "two hundred eleven billion, one hundred twenty-three million, three thousand".