Search a number
-
+
12023220000 = 253541118217
BaseRepresentation
bin10110011001010001…
…11100011100100000
31011000220210212012110
423030220330130200
5144110421020000
65305015155320
7603642453351
oct131450743440
934026725173
1012023220000
11510a881160
1223b6675b40
131197c0477c
14820b43d28
154a580a850
hex2cca3c720

12023220000 has 240 divisors, whose sum is σ = 43026252192. Its totient is φ = 2914560000.

The previous prime is 12023219993. The next prime is 12023220019. The reversal of 12023220000 is 2232021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 650892 + ... + 669108.

Almost surely, 212023220000 is an apocalyptic number.

12023220000 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 12023220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21513126096).

12023220000 is an abundant number, since it is smaller than the sum of its proper divisors (31003032192).

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

12023220000 is a wasteful number, since it uses less digits than its factorization.

12023220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18261 (or 18238 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12023220000 its reverse (2232021), we get a palindrome (12025452021).

The spelling of 12023220000 in words is "twelve billion, twenty-three million, two hundred twenty thousand".