20345032142220 has 192 divisors, whose sum is σ = 60104865300480. Its totient is φ = 5127761313792.

The previous prime is 20345032142173. The next prime is 20345032142231. The reversal of 20345032142220 is 2224123054302.

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

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, 1124212212 + ... + 1124230308.

It is an arithmetic number, because the mean of its divisors is an integer number (313046173440).

Almost surely, 2^{20345032142220} is an apocalyptic number.

20345032142220 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 20345032142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30052432650240).

20345032142220 is an abundant number, since it is smaller than the sum of its proper divisors (39759833158260).

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

20345032142220 is a wasteful number, since it uses less digits than its factorization.

20345032142220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20384 (or 20382 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 20345032142220 its reverse (2224123054302), we get a palindrome (22569155196522).

The spelling of 20345032142220 in words is "twenty trillion, three hundred forty-five billion, thirty-two million, one hundred forty-two thousand, two hundred twenty".