12020112000 has 384 divisors, whose sum is σ = 46495023120. Its totient is φ = 2958336000.

The previous prime is 12020111981. The next prime is 12020112001. The reversal of 12020112000 is 21102021.

It can be written as a sum of positive squares in 8 ways, for example, as 205291584 + 11814820416 = 14328^2 + 108696^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12020112001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1868790 + ... + 1875210.

Almost surely, 2^12020112000 is an apocalyptic number.

12020112000 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 12020112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23247511560).

12020112000 is an abundant number, since it is smaller than the sum of its proper divisors (34474911120).

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

12020112000 is a wasteful number, since it uses less digits than its factorization.

12020112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12020112000 its reverse (21102021), we get a palindrome (12041214021).

The spelling of 12020112000 in words is "twelve billion, twenty million, one hundred twelve thousand".