211213020000 has 480 divisors, whose sum is σ = 720213832800. Its totient is φ = 54134784000.

The previous prime is 211213019999. The next prime is 211213020017. The reversal of 211213020000 is 20312112.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×211213020000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197579466 + ... + 197580534.

It is an arithmetic number, because the mean of its divisors is an integer number (1500445485).

Almost surely, 2^211213020000 is an apocalyptic number.

211213020000 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 211213020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360106916400).

211213020000 is an abundant number, since it is smaller than the sum of its proper divisors (509000812800).

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

211213020000 is a wasteful number, since it uses less digits than its factorization.

211213020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211213020000 its reverse (20312112), we get a palindrome (211233332112).

The spelling of 211213020000 in words is "two hundred eleven billion, two hundred thirteen million, twenty thousand".