212001111111020 has 384 divisors, whose sum is σ = 574347062016000. Its totient is φ = 65150023680000.

The previous prime is 212001111110977. The next prime is 212001111111071. The reversal of 212001111111020 is 20111111100212.

212001111111020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212001111111020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212001111110986 and 212001111111004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22039823771 + ... + 22039833389.

It is an arithmetic number, because the mean of its divisors is an integer number (1495695474000).

Almost surely, 2^{212001111111020} is an apocalyptic number.

212001111111020 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 212001111111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287173531008000).

212001111111020 is an abundant number, since it is smaller than the sum of its proper divisors (362345950904980).

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

212001111111020 is a wasteful number, since it uses less digits than its factorization.

212001111111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13734 (or 13718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 212001111111020 its reverse (20111111100212), we get a palindrome (232112222211232).

The spelling of 212001111111020 in words is "two hundred twelve trillion, one billion, one hundred eleven million, one hundred eleven thousand, twenty".