32130342310200 has 192 divisors, whose sum is σ = 101590539456000. Its totient is φ = 8398772029440.

The previous prime is 32130342310141. The next prime is 32130342310223. The reversal of 32130342310200 is 201324303123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4150272 + ... + 9026928.

It is an arithmetic number, because the mean of its divisors is an integer number (529117393000).

Almost surely, 2^{32130342310200} is an apocalyptic number.

32130342310200 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 32130342310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50795269728000).

32130342310200 is an abundant number, since it is smaller than the sum of its proper divisors (69460197145800).

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

32130342310200 is a wasteful number, since it uses less digits than its factorization.

32130342310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876894 (or 4876885 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32130342310200 its reverse (201324303123), we get a palindrome (32331666613323).

The spelling of 32130342310200 in words is "thirty-two trillion, one hundred thirty billion, three hundred forty-two million, three hundred ten thousand, two hundred".