212123020321212 has 576 divisors, whose sum is σ = 711398439413760. Its totient is φ = 47777727191040.

The previous prime is 212123020321211. The next prime is 212123020321349.

212123020321212 is nontrivially palindromic in base 10.

212123020321212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123020321211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141029553 + ... + 142525719.

Almost surely, 2^{212123020321212} is an apocalyptic number.

212123020321212 is a gapful number since it is divisible by the number (22) 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 212123020321212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355699219706880).

212123020321212 is an abundant number, since it is smaller than the sum of its proper divisors (499275419092548).

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

212123020321212 is a wasteful number, since it uses less digits than its factorization.

212123020321212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496282 (or 1496269 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 212123020321212 in words is "two hundred twelve trillion, one hundred twenty-three billion, twenty million, three hundred twenty-one thousand, two hundred twelve".