212120101202212 has 288 divisors, whose sum is σ = 468808380149760. Its totient is φ = 83450461248000.

The previous prime is 212120101202209. The next prime is 212120101202221. The reversal of 212120101202212 is 212202101021212.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 212120101202212.

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, 66474489537 + ... + 66474492727.

It is an arithmetic number, because the mean of its divisors is an integer number (1627806875520).

Almost surely, 2^{212120101202212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120101202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234404190074880).

212120101202212 is an abundant number, since it is smaller than the sum of its proper divisors (256688278947548).

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

212120101202212 is a wasteful number, since it uses less digits than its factorization.

212120101202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212120101202212 its reverse (212202101021212), we get a palindrome (424322202223424).

The spelling of 212120101202212 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred one million, two hundred two thousand, two hundred twelve".