212011101211008 has 384 divisors, whose sum is σ = 646107200444160. Its totient is φ = 61434470338560.

The previous prime is 212011101210971. The next prime is 212011101211037. The reversal of 212011101211008 is 800112101110212.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3886732791 + ... + 3886787337.

It is an arithmetic number, because the mean of its divisors is an integer number (1682570834490).

Almost surely, 2^{212011101211008} 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 212011101211008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323053600222080).

212011101211008 is an abundant number, since it is smaller than the sum of its proper divisors (434096099233152).

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

212011101211008 is a wasteful number, since it uses less digits than its factorization.

212011101211008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58246 (or 58223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 21.

The spelling of 212011101211008 in words is "two hundred twelve trillion, eleven billion, one hundred one million, two hundred eleven thousand, eight".