20121330040 has 128 divisors (see below), whose sum is σ = 52441344000. Its totient is φ = 6805675008.

The previous prime is 20121330017. The next prime is 20121330059. The reversal of 20121330040 is 4003312102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20121329996 and 20121330023.

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 31 ways as a sum of consecutive naturals, for example, 17916919 + ... + 17918041.

It is an arithmetic number, because the mean of its divisors is an integer number (409698000).

Almost surely, 2^20121330040 is an apocalyptic number.

20121330040 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 20121330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26220672000).

20121330040 is an abundant number, since it is smaller than the sum of its proper divisors (32320013960).

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

20121330040 is a wasteful number, since it uses less digits than its factorization.

20121330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20121330040 its reverse (4003312102), we get a palindrome (24124642142).

The spelling of 20121330040 in words is "twenty billion, one hundred twenty-one million, three hundred thirty thousand, forty".