32130612000 has 288 divisors, whose sum is σ = 120741579504. Its totient is φ = 8064000000.

The previous prime is 32130611893. The next prime is 32130612011. The reversal of 32130612000 is 21603123.

32130612000 is a `hidden beast` number, since 3 + 21 + 30 + 612 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1523809296 + 30606802704 = 39036^2 + 174948^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585750 + ... + 638250.

Almost surely, 2^32130612000 is an apocalyptic number.

32130612000 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 32130612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60370789752).

32130612000 is an abundant number, since it is smaller than the sum of its proper divisors (88610967504).

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

32130612000 is a wasteful number, since it uses less digits than its factorization.

32130612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52549 (or 52528 counting only the distinct ones).

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

The spelling of 32130612000 in words is "thirty-two billion, one hundred thirty million, six hundred twelve thousand".