32130011122000 has 480 divisors, whose sum is σ = 89216478842400. Its totient is φ = 11168819200000.

The previous prime is 32130011121977. The next prime is 32130011122003. The reversal of 32130011122000 is 22111003123.

It can be written as a sum of positive squares in 16 ways, for example, as 11776811973696 + 20353199148304 = 3431736^2 + 4511452^2 .

It is a super-2 number, since 2×32130011122000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130011122003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 708795336 + ... + 708840664.

It is an arithmetic number, because the mean of its divisors is an integer number (185867664255).

Almost surely, 2^{32130011122000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32130011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44608239421200).

32130011122000 is an abundant number, since it is smaller than the sum of its proper divisors (57086467720400).

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

32130011122000 is a wasteful number, since it uses less digits than its factorization.

32130011122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45504 (or 45477 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 32130011122000 its reverse (22111003123), we get a palindrome (32152122125123).

The spelling of 32130011122000 in words is "thirty-two trillion, one hundred thirty billion, eleven million, one hundred twenty-two thousand".