212411112114020 has 96 divisors (see below), whose sum is σ = 471053773300320. Its totient is φ = 80332321771520.

The previous prime is 212411112114017. The next prime is 212411112114121. The reversal of 212411112114020 is 20411211114212.

It can be written as a sum of positive squares in 16 ways, for example, as 25228600204864 + 187182511909156 = 5022808^2 + 13681466^2 .

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, 9384134 + ... + 22646946.

It is an arithmetic number, because the mean of its divisors is an integer number (4906810138545).

Almost surely, 2^{212411112114020} is an apocalyptic number.

212411112114020 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 212411112114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235526886650160).

212411112114020 is an abundant number, since it is smaller than the sum of its proper divisors (258642661186300).

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

212411112114020 is a wasteful number, since it uses less digits than its factorization.

212411112114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13263425 (or 13263423 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 212411112114020 its reverse (20411211114212), we get a palindrome (232822323228232).

The spelling of 212411112114020 in words is "two hundred twelve trillion, four hundred eleven billion, one hundred twelve million, one hundred fourteen thousand, twenty".