212122120133320 has 128 divisors (see below), whose sum is σ = 514108867536000. Its totient is φ = 78509043486720.

The previous prime is 212122120133317. The next prime is 212122120133347. The reversal of 212122120133320 is 23331021221212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571354950 + ... + 571726090.

It is an arithmetic number, because the mean of its divisors is an integer number (4016475527625).

Almost surely, 2^{212122120133320} is an apocalyptic number.

212122120133320 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 212122120133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257054433768000).

212122120133320 is an abundant number, since it is smaller than the sum of its proper divisors (301986747402680).

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

212122120133320 is a wasteful number, since it uses less digits than its factorization.

212122120133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388703 (or 388699 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 212122120133320 its reverse (23331021221212), we get a palindrome (235453141354532).

The spelling of 212122120133320 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thirty-three thousand, three hundred twenty".