211122221001012 has 384 divisors, whose sum is σ = 591323933491200. Its totient is φ = 65803708713600.

The previous prime is 211122221000987. The next prime is 211122221001019. The reversal of 211122221001012 is 210100122221112.

211122221001012 is a `hidden beast` number, since 211 + 1 + 222 + 210 + 0 + 10 + 12 = 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 (211122221001019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1605340963 + ... + 1605472469.

It is an arithmetic number, because the mean of its divisors is an integer number (1539906076800).

Almost surely, 2^{211122221001012} 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 211122221001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295661966745600).

211122221001012 is an abundant number, since it is smaller than the sum of its proper divisors (380201712490188).

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

211122221001012 is a wasteful number, since it uses less digits than its factorization.

211122221001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131735 (or 131715 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122221001012 its reverse (210100122221112), we get a palindrome (421222343222124).

The spelling of 211122221001012 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twenty-one million, one thousand, twelve".