212112212201120 has 96 divisors (see below), whose sum is σ = 624766879610496. Its totient is φ = 66112897305600.

The previous prime is 212112212201101. The next prime is 212112212201171. The reversal of 212112212201120 is 21102212211212.

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 = 212112212201092 and 212112212201101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8608437851 + ... + 8608462490.

It is an arithmetic number, because the mean of its divisors is an integer number (6507988329276).

Almost surely, 2^{212112212201120} is an apocalyptic number.

212112212201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112212201120 is an abundant number, since it is smaller than the sum of its proper divisors (412654667409376).

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

212112212201120 is a wasteful number, since it uses less digits than its factorization.

212112212201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17216900374 (or 17216900366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212112212201120 its reverse (21102212211212), we get a palindrome (233214424412332).

The spelling of 212112212201120 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twelve million, two hundred one thousand, one hundred twenty".