212221221002120 has 128 divisors (see below), whose sum is σ = 556045629465600. Its totient is φ = 72079988601600.

The previous prime is 212221221002117. The next prime is 212221221002179. The reversal of 212221221002120 is 21200122122212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212221221002092 and 212221221002101.

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, 178176254 + ... + 179363373.

It is an arithmetic number, because the mean of its divisors is an integer number (4344106480200).

Almost surely, 2^{212221221002120} is an apocalyptic number.

212221221002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221221002120 is an abundant number, since it is smaller than the sum of its proper divisors (343824408463480).

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

212221221002120 is a wasteful number, since it uses less digits than its factorization.

212221221002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357539739 (or 357539735 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212221221002120 its reverse (21200122122212), we get a palindrome (233421343124332).

The spelling of 212221221002120 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred twenty-one million, two thousand, one hundred twenty".