20120010020000 has 240 divisors, whose sum is σ = 54532777600224. Its totient is φ = 7243920000000.

The previous prime is 20120010019999. The next prime is 20120010020171. The reversal of 20120010020000 is 2001002102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20120010020000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21767255 + ... + 22672745.

Almost surely, 2^{20120010020000} is an apocalyptic number.

20120010020000 is a gapful number since it is divisible by the number (20) 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 20120010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27266388800112).

20120010020000 is an abundant number, since it is smaller than the sum of its proper divisors (34412767580224).

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

20120010020000 is a wasteful number, since it uses less digits than its factorization.

20120010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905633 (or 905610 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20120010020000 its reverse (2001002102), we get a palindrome (20122011022102).

The spelling of 20120010020000 in words is "twenty trillion, one hundred twenty billion, ten million, twenty thousand".