21221122011120 has 120 divisors (see below), whose sum is σ = 75018527859600. Its totient is φ = 5361125557248.

The previous prime is 21221122011119. The next prime is 21221122011127. The reversal of 21221122011120 is 2111022112212.

21221122011120 is a `hidden beast` number, since 212 + 211 + 220 + 1 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 21221122011093 and 21221122011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221122011127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775612125 + ... + 775639484.

It is an arithmetic number, because the mean of its divisors is an integer number (625154398830).

Almost surely, 2^{21221122011120} is an apocalyptic number.

21221122011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221122011120 is an abundant number, since it is smaller than the sum of its proper divisors (53797405848480).

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

21221122011120 is a wasteful number, since it uses less digits than its factorization.

21221122011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551251647 (or 1551251638 counting only the distinct ones).

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

Adding to 21221122011120 its reverse (2111022112212), we get a palindrome (23332144123332).

The spelling of 21221122011120 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty-two million, eleven thousand, one hundred twenty".