211213021232000 has 512 divisors, whose sum is σ = 541025571939840. Its totient is φ = 81965445120000.

The previous prime is 211213021231999. The next prime is 211213021232021. The reversal of 211213021232000 is 232120312112.

It is a super-2 number, since 2×211213021232000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121877103134 + ... + 121877104866.

It is an arithmetic number, because the mean of its divisors is an integer number (1056690570195).

Almost surely, 2^{211213021232000} is an apocalyptic number.

211213021232000 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 211213021232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270512785969920).

211213021232000 is an abundant number, since it is smaller than the sum of its proper divisors (329812550707840).

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

211213021232000 is a wasteful number, since it uses less digits than its factorization.

211213021232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211213021232000 its reverse (232120312112), we get a palindrome (211445141544112).

The spelling of 211213021232000 in words is "two hundred eleven trillion, two hundred thirteen billion, twenty-one million, two hundred thirty-two thousand".