Search a number
-
+
12042020320 = 2551129713323
BaseRepresentation
bin10110011011100001…
…01010010111100000
31011002020012000101121
423031300222113200
5144130224122240
65310530142024
7604261324651
oct131560522740
934066160347
1012042020320
11511a452110
122400a21914
13119ba87b15
14823439528
154a72c104a
hex2cdc2a5e0

12042020320 has 192 divisors, whose sum is σ = 32567754240. Its totient is φ = 4167116800.

The previous prime is 12042020303. The next prime is 12042020321. The reversal of 12042020320 is 2302024021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12042020294 and 12042020303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042020321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3622179 + ... + 3625501.

It is an arithmetic number, because the mean of its divisors is an integer number (169623720).

Almost surely, 212042020320 is an apocalyptic number.

12042020320 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 12042020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16283877120).

12042020320 is an abundant number, since it is smaller than the sum of its proper divisors (20525733920).

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

12042020320 is a wasteful number, since it uses less digits than its factorization.

12042020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12042020320 its reverse (2302024021), we get a palindrome (14344044341).

The spelling of 12042020320 in words is "twelve billion, forty-two million, twenty thousand, three hundred twenty".