20120434102020 has 192 divisors, whose sum is σ = 65887599697920. Its totient is φ = 4491671450112.

The previous prime is 20120434102019. The next prime is 20120434102073. The reversal of 20120434102020 is 2020143402102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307511029 + ... + 307576451.

It is an arithmetic number, because the mean of its divisors is an integer number (343164581760).

Almost surely, 2^{20120434102020} is an apocalyptic number.

20120434102020 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 20120434102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32943799848960).

20120434102020 is an abundant number, since it is smaller than the sum of its proper divisors (45767165595900).

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

20120434102020 is a wasteful number, since it uses less digits than its factorization.

20120434102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82514 (or 82512 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20120434102020 its reverse (2020143402102), we get a palindrome (22140577504122).

The spelling of 20120434102020 in words is "twenty trillion, one hundred twenty billion, four hundred thirty-four million, one hundred two thousand, twenty".