212033121330212 has 384 divisors, whose sum is σ = 517705274741760. Its totient is φ = 73514607575040.

The previous prime is 212033121330097. The next prime is 212033121330311.

212033121330212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 11137938758 + ... + 11137957794.

It is an arithmetic number, because the mean of its divisors is an integer number (1348190819640).

Almost surely, 2^{212033121330212} 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 212033121330212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258852637370880).

212033121330212 is an abundant number, since it is smaller than the sum of its proper divisors (305672153411548).

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

212033121330212 is a wasteful number, since it uses less digits than its factorization.

212033121330212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20711 (or 20709 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 212033121330212 in words is "two hundred twelve trillion, thirty-three billion, one hundred twenty-one million, three hundred thirty thousand, two hundred twelve".