20435312304120 has 768 divisors, whose sum is σ = 77649991372800. Its totient is φ = 4272411279360.

The previous prime is 20435312304049. The next prime is 20435312304139. The reversal of 20435312304120 is 2140321353402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1077859201 + ... + 1077878159.

It is an arithmetic number, because the mean of its divisors is an integer number (101106759600).

Almost surely, 2^{20435312304120} is an apocalyptic number.

20435312304120 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 20435312304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38824995686400).

20435312304120 is an abundant number, since it is smaller than the sum of its proper divisors (57214679068680).

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

20435312304120 is a wasteful number, since it uses less digits than its factorization.

20435312304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19308 (or 19297 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 20435312304120 its reverse (2140321353402), we get a palindrome (22575633657522).

The spelling of 20435312304120 in words is "twenty trillion, four hundred thirty-five billion, three hundred twelve million, three hundred four thousand, one hundred twenty".