212000122012008 has 128 divisors (see below), whose sum is σ = 579193475097600. Its totient is φ = 64130137075200.

The previous prime is 212000122011893. The next prime is 212000122012009. The reversal of 212000122012008 is 800210221000212.

It is a super-3 number, since 3×212000122012008³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212000122012009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763789860 + ... + 764067372.

It is an arithmetic number, because the mean of its divisors is an integer number (4524949024200).

Almost surely, 2^{212000122012008} 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 212000122012008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289596737548800).

212000122012008 is an abundant number, since it is smaller than the sum of its proper divisors (367193353085592).

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

212000122012008 is a wasteful number, since it uses less digits than its factorization.

212000122012008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282583 (or 282579 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 212000122012008 in words is "two hundred twelve trillion, one hundred twenty-two million, twelve thousand, eight".