32201120230032 has 320 divisors, whose sum is σ = 95712134031360. Its totient is φ = 9253110988800.

The previous prime is 32201120229991. The next prime is 32201120230043. The reversal of 32201120230032 is 23003202110223.

It is a happy number.

It is a super-2 number, since 2×32201120230032² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32201120229990 and 32201120230008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1198792282 + ... + 1198819142.

It is an arithmetic number, because the mean of its divisors is an integer number (299100418848).

Almost surely, 2^{32201120230032} 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 32201120230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47856067015680).

32201120230032 is an abundant number, since it is smaller than the sum of its proper divisors (63511013801328).

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

32201120230032 is a wasteful number, since it uses less digits than its factorization.

32201120230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29082 (or 29076 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32201120230032 its reverse (23003202110223), we get a palindrome (55204322340255).

The spelling of 32201120230032 in words is "thirty-two trillion, two hundred one billion, one hundred twenty million, two hundred thirty thousand, thirty-two".