211223031231000 has 512 divisors, whose sum is σ = 682451682232320. Its totient is φ = 54356520960000.

The previous prime is 211223031230993. The next prime is 211223031231011. The reversal of 211223031231000 is 132130322112.

It is a super-2 number, since 2×211223031231000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7520298957 + ... + 7520327043.

It is an arithmetic number, because the mean of its divisors is an integer number (1332913441860).

Almost surely, 2^{211223031231000} is an apocalyptic number.

211223031231000 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 211223031231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341225841116160).

211223031231000 is an abundant number, since it is smaller than the sum of its proper divisors (471228651001320).

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

211223031231000 is a wasteful number, since it uses less digits than its factorization.

211223031231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28852 (or 28838 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211223031231000 its reverse (132130322112), we get a palindrome (211355161553112).

The spelling of 211223031231000 in words is "two hundred eleven trillion, two hundred twenty-three billion, thirty-one million, two hundred thirty-one thousand".