32442120020 has 48 divisors (see below), whose sum is σ = 70048129536. Its totient is φ = 12613536000.

The previous prime is 32442119971. The next prime is 32442120041. The reversal of 32442120020 is 2002124423.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32442119974 and 32442120001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149225 + ... + 295215.

It is an arithmetic number, because the mean of its divisors is an integer number (1459336032).

Almost surely, 2^32442120020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32442120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35024064768).

32442120020 is an abundant number, since it is smaller than the sum of its proper divisors (37606009516).

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

32442120020 is a wasteful number, since it uses less digits than its factorization.

32442120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146312 (or 146310 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 32442120020 its reverse (2002124423), we get a palindrome (34444244443).

The spelling of 32442120020 in words is "thirty-two billion, four hundred forty-two million, one hundred twenty thousand, twenty".