20821011120 has 1600 divisors, whose sum is σ = 98729680896. Its totient is φ = 3941498880.

The previous prime is 20821011083. The next prime is 20821011131. The reversal of 20821011120 is 2111012802.

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 = 20821011093 and 20821011102.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 310761327 + ... + 310761393.

Almost surely, 2^20821011120 is an apocalyptic number.

20821011120 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 20821011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49364840448).

20821011120 is an abundant number, since it is smaller than the sum of its proper divisors (77908669776).

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

20821011120 is a wasteful number, since it uses less digits than its factorization.

20821011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

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

Adding to 20821011120 its reverse (2111012802), we get a palindrome (22932023922).

The spelling of 20821011120 in words is "twenty billion, eight hundred twenty-one million, eleven thousand, one hundred twenty".