Search a number
-
+
12220374096 = 2434719312287
BaseRepresentation
bin10110110000110010…
…00001110001010000
31011112122210022210000
423120121001301100
5200011403432341
65340341010000
7611555315550
oct133031016120
934478708700
1012220374096
11520109aa27
1224506b3900
1311c9a035b8
1483cdc5160
154b7ca18b6
hex2d8641c50

12220374096 has 400 divisors, whose sum is σ = 43941314560. Its totient is φ = 3199668480.

The previous prime is 12220374059. The next prime is 12220374139. The reversal of 12220374096 is 69047302221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12220374096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5342265 + ... + 5344551.

Almost surely, 212220374096 is an apocalyptic number.

12220374096 is a gapful number since it is divisible by the number (16) 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 12220374096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21970657280).

12220374096 is an abundant number, since it is smaller than the sum of its proper divisors (31720940464).

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

12220374096 is a wasteful number, since it uses less digits than its factorization.

12220374096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12220374096 in words is "twelve billion, two hundred twenty million, three hundred seventy-four thousand, ninety-six".