212021111121120 has 2304 divisors, whose sum is σ = 920341220198400. Its totient is φ = 43352745246720.

The previous prime is 212021111121109. The next prime is 212021111121121. The reversal of 212021111121120 is 21121111120212.

It is a happy number.

212021111121120 is a `hidden beast` number, since 212 + 0 + 211 + 1 + 1 + 121 + 120 = 666.

It is a super-2 number, since 2×212021111121120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212021111121093 and 212021111121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021111121121) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 109798606555 + ... + 109798608485.

It is an arithmetic number, because the mean of its divisors is an integer number (399453654600).

Almost surely, 2^{212021111121120} is an apocalyptic number.

212021111121120 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 212021111121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460170610099200).

212021111121120 is an abundant number, since it is smaller than the sum of its proper divisors (708320109077280).

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

212021111121120 is a wasteful number, since it uses less digits than its factorization.

212021111121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212021111121120 its reverse (21121111120212), we get a palindrome (233142222241332).

The spelling of 212021111121120 in words is "two hundred twelve trillion, twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".