220120201000032 has 192 divisors, whose sum is σ = 582745120251840. Its totient is φ = 72750269988864.

The previous prime is 220120201000031. The next prime is 220120201000039. The reversal of 220120201000032 is 230000102021022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220120200999975 and 220120201000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220120201000031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29392465344 + ... + 29392472832.

It is an arithmetic number, because the mean of its divisors is an integer number (3035130834645).

Almost surely, 2^{220120201000032} 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 220120201000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291372560125920).

220120201000032 is an abundant number, since it is smaller than the sum of its proper divisors (362624919251808).

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

220120201000032 is a wasteful number, since it uses less digits than its factorization.

220120201000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13105 (or 13097 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 220120201000032 its reverse (230000102021022), we get a palindrome (450120303021054).

The spelling of 220120201000032 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred one million, thirty-two", and thus it is an aban number.