212322033000 has 1024 divisors, whose sum is σ = 930908160000. Its totient is φ = 43483392000.

The previous prime is 212322032893. The next prime is 212322033031. The reversal of 212322033000 is 330223212.

It is a happy number.

212322033000 is a `hidden beast` number, since 2 + 12 + 322 + 0 + 330 + 0 + 0 = 666.

212322033000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 255 ways as a sum of consecutive naturals, for example, 151766301 + ... + 151767699.

It is an arithmetic number, because the mean of its divisors is an integer number (909090000).

Almost surely, 2^212322033000 is an apocalyptic number.

212322033000 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 212322033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465454080000).

212322033000 is an abundant number, since it is smaller than the sum of its proper divisors (718586127000).

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

212322033000 is a wasteful number, since it uses less digits than its factorization.

212322033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212322033000 its reverse (330223212), we get a palindrome (212652256212).

The spelling of 212322033000 in words is "two hundred twelve billion, three hundred twenty-two million, thirty-three thousand".