21220120202112 has 256 divisors, whose sum is σ = 67485820012800. Its totient is φ = 6525454473216.

The previous prime is 21220120202023. The next prime is 21220120202119. The reversal of 21220120202112 is 21120202102212.

It is a happy number.

21220120202112 is a `hidden beast` number, since 212 + 20 + 120 + 202 + 112 = 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 (21220120202119) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 77273883 + ... + 77548005.

It is an arithmetic number, because the mean of its divisors is an integer number (263616484425).

Almost surely, 2^{21220120202112} 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 21220120202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33742910006400).

21220120202112 is an abundant number, since it is smaller than the sum of its proper divisors (46265699810688).

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

21220120202112 is a wasteful number, since it uses less digits than its factorization.

21220120202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275882 (or 275864 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21220120202112 its reverse (21120202102212), we get a palindrome (42340322304324).

The spelling of 21220120202112 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty million, two hundred two thousand, one hundred twelve".