21240031120 has 160 divisors (see below), whose sum is σ = 61772046336. Its totient is φ = 6598387200.

The previous prime is 21240031117. The next prime is 21240031151. The reversal of 21240031120 is 2113004212.

It is a super-2 number, since 2×21240031120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21240031094 and 21240031103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1910217 + ... + 1921303.

Almost surely, 2^21240031120 is an apocalyptic number.

21240031120 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 21240031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30886023168).

21240031120 is an abundant number, since it is smaller than the sum of its proper divisors (40532015216).

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

21240031120 is a wasteful number, since it uses less digits than its factorization.

21240031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11429 (or 11423 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21240031120 its reverse (2113004212), we get a palindrome (23353035332).

The spelling of 21240031120 in words is "twenty-one billion, two hundred forty million, thirty-one thousand, one hundred twenty".