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12251311320 = 2335179570359
BaseRepresentation
bin10110110100011110…
…00010110011011000
31011121211000002200010
423122033002303120
5200042313430240
65343404041520
7612412266543
oct133217026330
934554002603
1012251311320
115217600586
12245ab332a0
131203246051
1484315985a
154ba863280
hex2da3c2cd8

12251311320 has 64 divisors (see below), whose sum is σ = 36959328000. Its totient is φ = 3248759168.

The previous prime is 12251311313. The next prime is 12251311327. The reversal of 12251311320 is 2311315221.

12251311320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12251311313) and next prime (12251311327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12251311327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263700 + ... + 306659.

It is an arithmetic number, because the mean of its divisors is an integer number (577489500).

Almost surely, 212251311320 is an apocalyptic number.

12251311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12251311320 is an abundant number, since it is smaller than the sum of its proper divisors (24708016680).

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

12251311320 is a wasteful number, since it uses less digits than its factorization.

12251311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570552 (or 570548 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 12251311320 its reverse (2311315221), we get a palindrome (14562626541).

The spelling of 12251311320 in words is "twelve billion, two hundred fifty-one million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2148 2685 3580 4296 5370 7160 10740 21480 570359 1140718 1711077 2281436 2851795 3422154 4562872 5703590 6844308 8555385 11407180 13688616 17110770 22814360 34221540 68443080 102094261 204188522 306282783 408377044 510471305 612565566 816754088 1020942610 1225131132 1531413915 2041885220 2450262264 3062827830 4083770440 6125655660 12251311320