21011201322012 has 192 divisors, whose sum is σ = 61640602974720. Its totient is φ = 6133767897600.

The previous prime is 21011201321989. The next prime is 21011201322061. The reversal of 21011201322012 is 21022310211012.

21011201322012 is a `hidden beast` number, since 210 + 1 + 120 + 1 + 322 + 0 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 911962 + ... + 6546302.

It is an arithmetic number, because the mean of its divisors is an integer number (321044807160).

Almost surely, 2^{21011201322012} is an apocalyptic number.

21011201322012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011201322012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820301487360).

21011201322012 is an abundant number, since it is smaller than the sum of its proper divisors (40629401652708).

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

21011201322012 is a wasteful number, since it uses less digits than its factorization.

21011201322012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634481 (or 5634473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21011201322012 its reverse (21022310211012), we get a palindrome (42033511533024).

The spelling of 21011201322012 in words is "twenty-one trillion, eleven billion, two hundred one million, three hundred twenty-two thousand, twelve".