212220122221120 has 56 divisors (see below), whose sum is σ = 544222178821944. Its totient is φ = 78358198972416.

The previous prime is 212220122221111. The next prime is 212220122221127. The reversal of 212220122221120 is 21122221022212.

It can be written as a sum of positive squares in 4 ways, for example, as 29711046214656 + 182509076006464 = 5450784^2 + 13509592^2 .

It is a super-2 number, since 2×212220122221120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212220122221091 and 212220122221100.

It is not an unprimeable number, because it can be changed into a prime (212220122221127) 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, 25507222069 + ... + 25507230388.

It is an arithmetic number, because the mean of its divisors is an integer number (9718253193249).

Almost surely, 2^{212220122221120} is an apocalyptic number.

212220122221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212220122221120 is an abundant number, since it is smaller than the sum of its proper divisors (332002056600824).

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

212220122221120 is a wasteful number, since it uses less digits than its factorization.

212220122221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51014452487 (or 51014452477 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 212220122221120 its reverse (21122221022212), we get a palindrome (233342343243332).

The spelling of 212220122221120 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".