32230013101200 has 720 divisors, whose sum is σ = 123759222402816. Its totient is φ = 7732847001600.

The previous prime is 32230013101141. The next prime is 32230013101213. The reversal of 32230013101200 is 210131003223.

32230013101200 is a `hidden beast` number, since 3 + 2 + 230 + 0 + 1 + 310 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 143 ways as a sum of consecutive naturals, for example, 123554910 + ... + 123815490.

Almost surely, 2^{32230013101200} is an apocalyptic number.

32230013101200 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 32230013101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61879611201408).

32230013101200 is an abundant number, since it is smaller than the sum of its proper divisors (91529209301616).

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

32230013101200 is a wasteful number, since it uses less digits than its factorization.

32230013101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260712 (or 260698 counting only the distinct ones).

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

Adding to 32230013101200 its reverse (210131003223), we get a palindrome (32440144104423).

The spelling of 32230013101200 in words is "thirty-two trillion, two hundred thirty billion, thirteen million, one hundred one thousand, two hundred".