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12254471420 = 22517192965413
BaseRepresentation
bin10110110100110110…
…00110010011111100
31011122000221122111212
423122123012103330
5200044121041140
65343555503552
7612451200632
oct133233062374
934560848455
1012254471420
115219369834
12245bbb7bb8
131203ab1529
1484373d352
154bac89765
hex2da6c64fc

12254471420 has 96 divisors (see below), whose sum is σ = 29671790400. Its totient is φ = 4219858944.

The previous prime is 12254471417. The next prime is 12254471443. The reversal of 12254471420 is 2417445221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154634 + ... + 220046.

It is an arithmetic number, because the mean of its divisors is an integer number (309081150).

Almost surely, 212254471420 is an apocalyptic number.

12254471420 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 12254471420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835895200).

12254471420 is an abundant number, since it is smaller than the sum of its proper divisors (17417318980).

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

12254471420 is a wasteful number, since it uses less digits than its factorization.

12254471420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65487 (or 65485 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The spelling of 12254471420 in words is "twelve billion, two hundred fifty-four million, four hundred seventy-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 29 34 38 58 68 76 85 95 116 145 170 190 290 323 340 380 493 551 580 646 986 1102 1292 1615 1972 2204 2465 2755 3230 4930 5510 6460 9367 9860 11020 18734 37468 46835 65413 93670 130826 187340 261652 327065 654130 1112021 1242847 1308260 1896977 2224042 2485694 3793954 4448084 4971388 5560105 6214235 7587908 9484885 11120210 12428470 18969770 21128399 22240420 24856940 32248609 36042563 37939540 42256798 64497218 72085126 84513596 105641995 128994436 144170252 161243045 180212815 211283990 322486090 360425630 422567980 612723571 644972180 720851260 1225447142 2450894284 3063617855 6127235710 12254471420