321012133200000 has 1152 divisors, whose sum is σ = 1293621229817280. Its totient is φ = 75717504000000.

The previous prime is 321012133199987. The next prime is 321012133200007. The reversal of 321012133200000 is 2331210123.

321012133200000 is a `hidden beast` number, since 3 + 210 + 121 + 332 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×321012133200000² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (321012133200007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1465090455 + ... + 1465309545.

Almost surely, 2^{321012133200000} is an apocalyptic number.

321012133200000 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 321012133200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646810614908640).

321012133200000 is an abundant number, since it is smaller than the sum of its proper divisors (972609096617280).

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

321012133200000 is a wasteful number, since it uses less digits than its factorization.

321012133200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219184 (or 219149 counting only the distinct ones).

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

Adding to 321012133200000 its reverse (2331210123), we get a palindrome (321014464410123).

The spelling of 321012133200000 in words is "three hundred twenty-one trillion, twelve billion, one hundred thirty-three million, two hundred thousand".