32201113320000 has 420 divisors, whose sum is σ = 118453676811756. Its totient is φ = 8354880000000.

The previous prime is 32201113319983. The next prime is 32201113320011. The reversal of 32201113320000 is 2331110223.

32201113320000 is a `hidden beast` number, since 3 + 220 + 111 + 332 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 17440579620864 + 14760533699136 = 4176192^2 + 3841944^2 .

It is a super-3 number, since 3×32201113320000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12111250 + ... + 14528750.

Almost surely, 2^{32201113320000} is an apocalyptic number.

32201113320000 is a gapful number since it is divisible by the number (30) 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 32201113320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59226838405878).

32201113320000 is an abundant number, since it is smaller than the sum of its proper divisors (86252563491756).

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

32201113320000 is a wasteful number, since it uses less digits than its factorization.

32201113320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417576 (or 2417548 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32201113320000 its reverse (2331110223), we get a palindrome (32203444430223).

The spelling of 32201113320000 in words is "thirty-two trillion, two hundred one billion, one hundred thirteen million, three hundred twenty thousand".