12010020000 has 480 divisors, whose sum is σ = 44438575104. Its totient is φ = 2812800000.

The previous prime is 12010019993. The next prime is 12010020047. The reversal of 12010020000 is 2001021.

It is a happy number.

12010020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 79 ways as a sum of consecutive naturals, for example, 20459707 + ... + 20460293.

Almost surely, 2^12010020000 is an apocalyptic number.

12010020000 is a gapful number since it is divisible by the number (10) 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 12010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219287552).

12010020000 is an abundant number, since it is smaller than the sum of its proper divisors (32428555104).

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

12010020000 is a wasteful number, since it uses less digits than its factorization.

12010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12010020000 its reverse (2001021), we get a palindrome (12012021021).

The spelling of 12010020000 in words is "twelve billion, ten million, twenty thousand".