Search a number
-
+
12201135440 = 2451327143291
BaseRepresentation
bin10110101110011111…
…01000110101010000
31011111022120220022012
423113033220311100
5144441442313230
65334412402052
7611232640304
oct132717506520
934438526265
1012201135440
1151a124a70a
122446176328
1311c5a28890
1483a617d04
154b6251395
hex2d73e8d50

12201135440 has 80 divisors (see below), whose sum is σ = 30663204096. Its totient is φ = 4488307200.

The previous prime is 12201135431. The next prime is 12201135481. The reversal of 12201135440 is 4453110221.

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

It is a congruent number.

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, 260195 + ... + 303485.

Almost surely, 212201135440 is an apocalyptic number.

12201135440 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 12201135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331602048).

12201135440 is an abundant number, since it is smaller than the sum of its proper divisors (18462068656).

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

12201135440 is a wasteful number, since it uses less digits than its factorization.

12201135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43588 (or 43582 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 12201135440 its reverse (4453110221), we get a palindrome (16654245661).

The spelling of 12201135440 in words is "twelve billion, two hundred one million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 271 520 542 1040 1084 1355 2168 2710 3523 4336 5420 7046 10840 14092 17615 21680 28184 35230 43291 56368 70460 86582 140920 173164 216455 281840 346328 432910 562783 692656 865820 1125566 1731640 2251132 2813915 3463280 4502264 5627830 9004528 11255660 11731861 22511320 23463722 45022640 46927444 58659305 93854888 117318610 152514193 187709776 234637220 305028386 469274440 610056772 762570965 938548880 1220113544 1525141930 2440227088 3050283860 6100567720 12201135440