212112141211212 has 288 divisors, whose sum is σ = 577369652842752. Its totient is φ = 60479939520000.

The previous prime is 212112141211189. The next prime is 212112141211213.

212112141211212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212112141211213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232868787 + ... + 233777877.

Almost surely, 2^{212112141211212} is an apocalyptic number.

212112141211212 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 212112141211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288684826421376).

212112141211212 is an abundant number, since it is smaller than the sum of its proper divisors (365257511631540).

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

212112141211212 is a wasteful number, since it uses less digits than its factorization.

212112141211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909301 (or 909288 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

The spelling of 212112141211212 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred forty-one million, two hundred eleven thousand, two hundred twelve".