21031141120 has 288 divisors, whose sum is σ = 58003029504. Its totient is φ = 7231488000.

The previous prime is 21031141067. The next prime is 21031141129. The reversal of 21031141120 is 2114113012.

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 = 21031141094 and 21031141103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21031141129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32707519 + ... + 32708161.

It is an arithmetic number, because the mean of its divisors is an integer number (201399408).

Almost surely, 2^21031141120 is an apocalyptic number.

21031141120 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 21031141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29001514752).

21031141120 is an abundant number, since it is smaller than the sum of its proper divisors (36971888384).

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

21031141120 is a wasteful number, since it uses less digits than its factorization.

21031141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21031141120 its reverse (2114113012), we get a palindrome (23145254132).

The spelling of 21031141120 in words is "twenty-one billion, thirty-one million, one hundred forty-one thousand, one hundred twenty".