212212013221120 has 72 divisors (see below), whose sum is σ = 554524459584480. Its totient is φ = 77168004802560.

The previous prime is 212212013221069. The next prime is 212212013221121. The reversal of 212212013221120 is 21122310212212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212212013221091 and 212212013221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212013221121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7535923890 + ... + 7535952049.

It is an arithmetic number, because the mean of its divisors is an integer number (7701728605340).

Almost surely, 2^{212212013221120} is an apocalyptic number.

212212013221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212013221120 is an abundant number, since it is smaller than the sum of its proper divisors (342312446363360).

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

212212013221120 is a wasteful number, since it uses less digits than its factorization.

212212013221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15071875971 (or 15071875957 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 212212013221120 its reverse (21122310212212), we get a palindrome (233334323433332).

The spelling of 212212013221120 in words is "two hundred twelve trillion, two hundred twelve billion, thirteen million, two hundred twenty-one thousand, one hundred twenty".