212033012000 has 96 divisors (see below), whose sum is σ = 521116727040. Its totient is φ = 84788524800.

The previous prime is 212033011979. The next prime is 212033012071. The reversal of 212033012000 is 210330212.

It is a happy number.

It is a super-3 number, since 3×212033012000³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20662871 + ... + 20673129.

It is an arithmetic number, because the mean of its divisors is an integer number (5428299240).

Almost surely, 2^212033012000 is an apocalyptic number.

212033012000 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 212033012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260558363520).

212033012000 is an abundant number, since it is smaller than the sum of its proper divisors (309083715040).

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

212033012000 is a wasteful number, since it uses less digits than its factorization.

212033012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15451 (or 15433 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 212033012000 its reverse (210330212), we get a palindrome (212243342212).

The spelling of 212033012000 in words is "two hundred twelve billion, thirty-three million, twelve thousand".