30132232002000 has 480 divisors, whose sum is σ = 106989486639360. Its totient is φ = 7902226252800.

The previous prime is 30132232001969. The next prime is 30132232002017. The reversal of 30132232002000 is 20023223103.

It is a happy number.

30132232002000 is a `hidden beast` number, since 3 + 0 + 1 + 322 + 320 + 0 + 20 + 0 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 739257621 + ... + 739298379.

It is an arithmetic number, because the mean of its divisors is an integer number (222894763832).

Almost surely, 2^{30132232002000} is an apocalyptic number.

30132232002000 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 30132232002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53494743319680).

30132232002000 is an abundant number, since it is smaller than the sum of its proper divisors (76857254637360).

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

30132232002000 is a wasteful number, since it uses less digits than its factorization.

30132232002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41468 (or 41449 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30132232002000 its reverse (20023223103), we get a palindrome (30152255225103).

The spelling of 30132232002000 in words is "thirty trillion, one hundred thirty-two billion, two hundred thirty-two million, two thousand".