20032121120 has 144 divisors (see below), whose sum is σ = 53290238904. Its totient is φ = 7106457600.

The previous prime is 20032121111. The next prime is 20032121159. The reversal of 20032121120 is 2112123002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13626359824 + 6405761296 = 116732^2 + 80036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20032121095 and 20032121104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781142 + ... + 806378.

Almost surely, 2^20032121120 is an apocalyptic number.

20032121120 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 20032121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26645119452).

20032121120 is an abundant number, since it is smaller than the sum of its proper divisors (33258117784).

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

20032121120 is a wasteful number, since it uses less digits than its factorization.

20032121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25315 (or 25296 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20032121120 its reverse (2112123002), we get a palindrome (22144244122).

The spelling of 20032121120 in words is "twenty billion, thirty-two million, one hundred twenty-one thousand, one hundred twenty".