32106001200 has 960 divisors, whose sum is σ = 132795500544. Its totient is φ = 6451200000.

The previous prime is 32106001199. The next prime is 32106001201. The reversal of 32106001200 is 210060123.

It is an interprime number because it is at equal distance from previous prime (32106001199) and next prime (32106001201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32106001200.

It is not an unprimeable number, because it can be changed into a prime (32106001201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 317881150 + ... + 317881250.

Almost surely, 2^32106001200 is an apocalyptic number.

32106001200 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 32106001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66397750272).

32106001200 is an abundant number, since it is smaller than the sum of its proper divisors (100689499344).

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

32106001200 is a wasteful number, since it uses less digits than its factorization.

32106001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 32106001200 its reverse (210060123), we get a palindrome (32316061323).

The spelling of 32106001200 in words is "thirty-two billion, one hundred six million, one thousand, two hundred".