21120211202112 has 336 divisors, whose sum is σ = 70013487957504. Its totient is φ = 6026213376000.

The previous prime is 21120211202087. The next prime is 21120211202113.

21120211202112 is a `hidden beast` number, since 21 + 120 + 211 + 202 + 112 = 666.

21120211202112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21120211202112² (a number of 27 digits) contains 22 as substring.

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

21120211202112 is a modest number, since divided by 211202112 gives 2112 as remainder.

It is not an unprimeable number, because it can be changed into a prime (21120211202113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5814312 + ... + 8720472.

It is an arithmetic number, because the mean of its divisors is an integer number (208373476064).

Almost surely, 2^{21120211202112} is an apocalyptic number.

21120211202112 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 21120211202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35006743978752).

21120211202112 is an abundant number, since it is smaller than the sum of its proper divisors (48893276755392).

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

21120211202112 is a wasteful number, since it uses less digits than its factorization.

21120211202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906258 (or 2906245 counting only the distinct ones).

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

21120211202112 divided by its product of nonzero digits (64) gives a palindrome (330003300033).

It can be divided in two parts, 2112021 and 1202112, that added together give a palindrome (3314133).

The spelling of 21120211202112 in words is "twenty-one trillion, one hundred twenty billion, two hundred eleven million, two hundred two thousand, one hundred twelve".