20211130240 has 128 divisors (see below), whose sum is σ = 56262237120. Its totient is φ = 6798704640.

The previous prime is 20211130201. The next prime is 20211130259. The reversal of 20211130240 is 4203111202.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 194880 + ... + 280000.

Almost surely, 2^20211130240 is an apocalyptic number.

20211130240 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 20211130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28131118560).

20211130240 is an abundant number, since it is smaller than the sum of its proper divisors (36051106880).

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

20211130240 is an equidigital number, since it uses as much as digits as its factorization.

20211130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85200 (or 85188 counting only the distinct ones).

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

Adding to 20211130240 its reverse (4203111202), we get a palindrome (24414241442).

The spelling of 20211130240 in words is "twenty billion, two hundred eleven million, one hundred thirty thousand, two hundred forty".