20121034304020 has 144 divisors (see below), whose sum is σ = 45835998405120. Its totient is φ = 7416089461248.

The previous prime is 20121034304003. The next prime is 20121034304023. The reversal of 20121034304020 is 2040343012102.

It is a junction number, because it is equal to n+sod(n) for n = 20121034303982 and 20121034304000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121034304023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6353340477 + ... + 6353343643.

It is an arithmetic number, because the mean of its divisors is an integer number (318305544480).

Almost surely, 2^{20121034304020} is an apocalyptic number.

20121034304020 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 20121034304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22917999202560).

20121034304020 is an abundant number, since it is smaller than the sum of its proper divisors (25714964101100).

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

20121034304020 is a wasteful number, since it uses less digits than its factorization.

20121034304020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 20121034304020 its reverse (2040343012102), we get a palindrome (22161377316122).

The spelling of 20121034304020 in words is "twenty trillion, one hundred twenty-one billion, thirty-four million, three hundred four thousand, twenty".