Search a number
-
+
12223313120 = 255127601541
BaseRepresentation
bin10110110001001000…
…01111010011100000
31011112212022122100202
423120210033103200
5200013132004440
65340524004332
7611622306254
oct133044172340
934485278322
1012223313120
115202818077
1224516906a8
1311ca4c2275
1483d54c264
154b8182615
hex2d890f4e0

12223313120 has 48 divisors (see below), whose sum is σ = 29105008128. Its totient is φ = 4850818560.

The previous prime is 12223313107. The next prime is 12223313143. The reversal of 12223313120 is 2131332221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12223313092 and 12223313101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280451 + ... + 321090.

It is an arithmetic number, because the mean of its divisors is an integer number (606354336).

Almost surely, 212223313120 is an apocalyptic number.

12223313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12223313120 is an abundant number, since it is smaller than the sum of its proper divisors (16881695008).

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

12223313120 is a wasteful number, since it uses less digits than its factorization.

12223313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601683 (or 601675 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12223313120 its reverse (2131332221), we get a palindrome (14354645341).

The spelling of 12223313120 in words is "twelve billion, two hundred twenty-three million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 1016 1270 2032 2540 4064 5080 10160 20320 601541 1203082 2406164 3007705 4812328 6015410 9624656 12030820 19249312 24061640 48123280 76395707 96246560 152791414 305582828 381978535 611165656 763957070 1222331312 1527914140 2444662624 3055828280 6111656560 12223313120