20012030406432 has 144 divisors (see below), whose sum is σ = 57468384163008. Its totient is φ = 6605147773440.

The previous prime is 20012030406331. The next prime is 20012030406479. The reversal of 20012030406432 is 23460403021002.

20012030406432 is a `hidden beast` number, since 2 + 0 + 0 + 12 + 0 + 3 + 0 + 4 + 0 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×20012030406432³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20012030406396 and 20012030406405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293135182 + ... + 293203442.

It is an arithmetic number, because the mean of its divisors is an integer number (399086001132).

Almost surely, 2^{20012030406432} 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 20012030406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28734192081504).

20012030406432 is an abundant number, since it is smaller than the sum of its proper divisors (37456353756576).

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

20012030406432 is a wasteful number, since it uses less digits than its factorization.

20012030406432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78263 (or 78252 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20012030406432 its reverse (23460403021002), we get a palindrome (43472433427434).

The spelling of 20012030406432 in words is "twenty trillion, twelve billion, thirty million, four hundred six thousand, four hundred thirty-two".