212022132000 has 384 divisors, whose sum is σ = 821193085440. Its totient is φ = 46790553600.

The previous prime is 212022131999. The next prime is 212022132013. The reversal of 212022132000 is 231220212.

It is a happy number.

It is a super-3 number, since 3×212022132000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2392482 + ... + 2479518.

It is an arithmetic number, because the mean of its divisors is an integer number (2138523660).

Almost surely, 2^212022132000 is an apocalyptic number.

212022132000 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 212022132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410596542720).

212022132000 is an abundant number, since it is smaller than the sum of its proper divisors (609170953440).

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

212022132000 is a wasteful number, since it uses less digits than its factorization.

212022132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87101 (or 87083 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212022132000 its reverse (231220212), we get a palindrome (212253352212).

The spelling of 212022132000 in words is "two hundred twelve billion, twenty-two million, one hundred thirty-two thousand".