212011111221120 has 256 divisors, whose sum is σ = 752802973416000. Its totient is φ = 56390957015040.

The previous prime is 212011111221113. The next prime is 212011111221211. The reversal of 212011111221120 is 21122111110212.

It is a happy number.

212011111221120 is a `hidden beast` number, since 212 + 0 + 1 + 1 + 111 + 221 + 120 = 666.

It is a super-3 number, since 3×212011111221120³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 212011111221093 and 212011111221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9048211 + ... + 22492050.

Almost surely, 2^{212011111221120} is an apocalyptic number.

212011111221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011111221120 is an abundant number, since it is smaller than the sum of its proper divisors (540791862194880).

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

212011111221120 is a wasteful number, since it uses less digits than its factorization.

212011111221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31540678 (or 31540660 counting only the distinct ones).

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

Adding to 212011111221120 its reverse (21122111110212), we get a palindrome (233133222331332).

The spelling of 212011111221120 in words is "two hundred twelve trillion, eleven billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".