Search a number
-
+
12022204560 = 2435401124919
BaseRepresentation
bin10110011001001010…
…00100100010010000
31011000211220021021120
423030211010202100
5144110141021220
65304541322240
7603631024032
oct131445044220
934024807246
1012022204560
11510a248253
1223b6266380
13119793a512
1482095bc52
154a56a9a40
hex2cc944890

12022204560 has 80 divisors (see below), whose sum is σ = 37362072960. Its totient is φ = 3197900800.

The previous prime is 12022204549. The next prime is 12022204573. The reversal of 12022204560 is 6540222021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12022204560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33781 + ... + 158699.

It is an arithmetic number, because the mean of its divisors is an integer number (467025912).

Almost surely, 212022204560 is an apocalyptic number.

12022204560 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 12022204560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681036480).

12022204560 is an abundant number, since it is smaller than the sum of its proper divisors (25339868400).

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

12022204560 is a wasteful number, since it uses less digits than its factorization.

12022204560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125336 (or 125330 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12022204560 its reverse (6540222021), we get a palindrome (18562426581).

The spelling of 12022204560 in words is "twelve billion, twenty-two million, two hundred four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 401 802 1203 1604 2005 2406 3208 4010 4812 6015 6416 8020 9624 12030 16040 19248 24060 32080 48120 96240 124919 249838 374757 499676 624595 749514 999352 1249190 1499028 1873785 1998704 2498380 2998056 3747570 4996760 5996112 7495140 9993520 14990280 29980560 50092519 100185038 150277557 200370076 250462595 300555114 400740152 500925190 601110228 751387785 801480304 1001850380 1202220456 1502775570 2003700760 2404440912 3005551140 4007401520 6011102280 12022204560