30032012133000 has 576 divisors, whose sum is σ = 108004729032720. Its totient is φ = 7525269504000.

The previous prime is 30032012132989. The next prime is 30032012133029. The reversal of 30032012133000 is 33121023003.

30032012133000 is a `hidden beast` number, since 3 + 0 + 0 + 320 + 12 + 1 + 330 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 985107860676 + 29046904272324 = 992526^2 + 5389518^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1667231994 + ... + 1667250006.

Almost surely, 2^{30032012133000} is an apocalyptic number.

30032012133000 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 30032012133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54002364516360).

30032012133000 is an abundant number, since it is smaller than the sum of its proper divisors (77972716899720).

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

30032012133000 is a wasteful number, since it uses less digits than its factorization.

30032012133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18715 (or 18681 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30032012133000 its reverse (33121023003), we get a palindrome (30065133156003).

The spelling of 30032012133000 in words is "thirty trillion, thirty-two billion, twelve million, one hundred thirty-three thousand".