212102033120 has 96 divisors (see below), whose sum is σ = 518298056640. Its totient is φ = 81967656960.

The previous prime is 212102033113. The next prime is 212102033131. The reversal of 212102033120 is 21330201212.

It is a congruent number.

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, 518726 + ... + 832634.

It is an arithmetic number, because the mean of its divisors is an integer number (5398938090).

Almost surely, 2^212102033120 is an apocalyptic number.

212102033120 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 212102033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259149028320).

212102033120 is an abundant number, since it is smaller than the sum of its proper divisors (306196023520).

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

212102033120 is a wasteful number, since it uses less digits than its factorization.

212102033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314068 (or 314060 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212102033120 its reverse (21330201212), we get a palindrome (233432234332).

The spelling of 212102033120 in words is "two hundred twelve billion, one hundred two million, thirty-three thousand, one hundred twenty".