212212201120 has 72 divisors (see below), whose sum is σ = 524097151956. Its totient is φ = 81194201088.

The previous prime is 212212201109. The next prime is 212212201133. The reversal of 212212201120 is 21102212212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 191693357584 + 20518843536 = 437828^2 + 143244^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212212201094 and 212212201103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168977 + ... + 1338256.

Almost surely, 2^212212201120 is an apocalyptic number.

212212201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212201120 is an abundant number, since it is smaller than the sum of its proper divisors (311884950836).

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

212212201120 is a wasteful number, since it uses less digits than its factorization.

212212201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507294 (or 2507263 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212212201120 its reverse (21102212212), we get a palindrome (233314413332).

The spelling of 212212201120 in words is "two hundred twelve billion, two hundred twelve million, two hundred one thousand, one hundred twenty".