201022222002012 has 96 divisors (see below), whose sum is σ = 527107331520000. Its totient is φ = 66244108563072.

The previous prime is 201022222002011. The next prime is 201022222002047. The reversal of 201022222002012 is 210200222220102.

201022222002012 is a `hidden beast` number, since 20 + 1 + 0 + 222 + 220 + 0 + 201 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022222002011) 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, 59675689 + ... + 62954207.

It is an arithmetic number, because the mean of its divisors is an integer number (5490701370000).

Almost surely, 2^{201022222002012} 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 201022222002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263553665760000).

201022222002012 is an abundant number, since it is smaller than the sum of its proper divisors (326085109517988).

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

201022222002012 is a wasteful number, since it uses less digits than its factorization.

201022222002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285000 (or 3284992 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201022222002012 its reverse (210200222220102), we get a palindrome (411222444222114).

The spelling of 201022222002012 in words is "two hundred one trillion, twenty-two billion, two hundred twenty-two million, two thousand, twelve".