21142221120 has 168 divisors, whose sum is σ = 76548020640. Its totient is φ = 5341178880.

The previous prime is 21142221119. The next prime is 21142221127. The reversal of 21142221120 is 2112224112.

21142221120 is a `hidden beast` number, since 2 + 11 + 422 + 211 + 20 = 666.

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 = 21142221093 and 21142221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142221127) 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, 138466 + ... + 247905.

It is an arithmetic number, because the mean of its divisors is an integer number (455642980).

Almost surely, 2^21142221120 is an apocalyptic number.

21142221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142221120 is an abundant number, since it is smaller than the sum of its proper divisors (55405799520).

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

21142221120 is a wasteful number, since it uses less digits than its factorization.

21142221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386413 (or 386400 counting only the distinct ones).

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

Adding to 21142221120 its reverse (2112224112), we get a palindrome (23254445232).

The spelling of 21142221120 in words is "twenty-one billion, one hundred forty-two million, two hundred twenty-one thousand, one hundred twenty".