212112111121020 has 288 divisors, whose sum is σ = 705287792611584. Its totient is φ = 51172844083200.

The previous prime is 212112111120979. The next prime is 212112111121051. The reversal of 212112111121020 is 20121111211212.

It is a happy number.

212112111121020 is a `hidden beast` number, since 2 + 1 + 211 + 211 + 11 + 210 + 20 = 666.

It is a super-2 number, since 2×212112111121020² (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 = 212112111120984 and 212112111121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8402796519 + ... + 8402821761.

It is an arithmetic number, because the mean of its divisors is an integer number (2448915946568).

Almost surely, 2^{212112111121020} is an apocalyptic number.

212112111121020 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 212112111121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352643896305792).

212112111121020 is an abundant number, since it is smaller than the sum of its proper divisors (493175681490564).

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

212112111121020 is a wasteful number, since it uses less digits than its factorization.

212112111121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45593 (or 45588 counting only the distinct ones).

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

Adding to 212112111121020 its reverse (20121111211212), we get a palindrome (232233222332232).

The spelling of 212112111121020 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, twenty".