21202212111120 has 240 divisors, whose sum is σ = 73654648092480. Its totient is φ = 5461537176576.

The previous prime is 21202212111097. The next prime is 21202212111127. The reversal of 21202212111120 is 2111121220212.

21202212111120 is a `hidden beast` number, since 2 + 120 + 221 + 211 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×21202212111120³ (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21202212111093 and 21202212111102.

It is not an unprimeable number, because it can be changed into a prime (21202212111127) 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, 840087 + ... + 6565833.

It is an arithmetic number, because the mean of its divisors is an integer number (306894367052).

Almost surely, 2^{21202212111120} is an apocalyptic number.

21202212111120 is a gapful number since it is divisible by the number (20) 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 21202212111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36827324046240).

21202212111120 is an abundant number, since it is smaller than the sum of its proper divisors (52452435981360).

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

21202212111120 is a wasteful number, since it uses less digits than its factorization.

21202212111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5725942 (or 5725933 counting only the distinct ones).

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

Adding to 21202212111120 its reverse (2111121220212), we get a palindrome (23313333331332).

The spelling of 21202212111120 in words is "twenty-one trillion, two hundred two billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".