212114004222120 has 1024 divisors, whose sum is σ = 856737036288000. Its totient is φ = 40573594828800.

The previous prime is 212114004222089. The next prime is 212114004222199. The reversal of 212114004222120 is 21222400411212.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 255 ways as a sum of consecutive naturals, for example, 88787777886 + ... + 88787780274.

It is an arithmetic number, because the mean of its divisors is an integer number (836657262000).

Almost surely, 2^{212114004222120} is an apocalyptic number.

212114004222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212114004222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428368518144000).

212114004222120 is an abundant number, since it is smaller than the sum of its proper divisors (644623032065880).

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

212114004222120 is a wasteful number, since it uses less digits than its factorization.

212114004222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 212114004222120 its reverse (21222400411212), we get a palindrome (233336404633332).

The spelling of 212114004222120 in words is "two hundred twelve trillion, one hundred fourteen billion, four million, two hundred twenty-two thousand, one hundred twenty".