32101200000000 has 1188 divisors, whose sum is σ = 119489565774436. Its totient is φ = 8294400000000.

The previous prime is 32101199999983. The next prime is 32101200000011. The reversal of 32101200000000 is 210123.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 9566203613184 + 22534996386816 = 3092928^2 + 4747104^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 133199999880 + ... + 133200000120.

Almost surely, 2^{32101200000000} is an apocalyptic number.

32101200000000 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 32101200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59744782887218).

32101200000000 is an abundant number, since it is smaller than the sum of its proper divisors (87388365774436).

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

32101200000000 is an frugal number, since it uses more digits than its factorization.

32101200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 32101200000000 its reverse (210123), we get a palindrome (32101200210123).

The spelling of 32101200000000 in words is "thirty-two trillion, one hundred one billion, two hundred million", and thus it is an aban number.