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12256322565340 = 22572271417327211
BaseRepresentation
bin1011001001011010010111…
…0000001011010011011100
31121101200201012012120001101
42302112211300023103130
53101301422034042330
642022251000122444
72403330045612250
oct262264560132334
947350635176041
1012256322565340
1139a5971625a67
12145b435766424
136ab9c66162a9
143052cdda8260
15163c35d3c4ca
hexb25a5c0b4dc

12256322565340 has 96 divisors (see below), whose sum is σ = 29547926843904. Its totient is φ = 4183207061760.

The previous prime is 12256322565337. The next prime is 12256322565349. The reversal of 12256322565340 is 4356522365221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12256322565349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450404335 + ... + 450431545.

It is an arithmetic number, because the mean of its divisors is an integer number (307790904624).

Almost surely, 212256322565340 is an apocalyptic number.

12256322565340 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 12256322565340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773963421952).

12256322565340 is an abundant number, since it is smaller than the sum of its proper divisors (17291604278564).

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

12256322565340 is a wasteful number, since it uses less digits than its factorization.

12256322565340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41627 (or 41625 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 12256322565340 in words is "twelve trillion, two hundred fifty-six billion, three hundred twenty-two million, five hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 227 454 908 1135 1589 2270 3178 4540 6356 7945 14173 15890 27211 28346 31780 54422 56692 70865 99211 108844 136055 141730 190477 198422 272110 283460 380954 396844 496055 544220 761908 952385 992110 1904770 1984220 3217271 3809540 6176897 6434542 12353794 12869084 16086355 22520897 24707588 30884485 32172710 43238279 45041794 61768970 64345420 86476558 90083588 112604485 123537940 172953116 216191395 225208970 385661503 432382790 450417940 771323006 864765580 1542646012 1928307515 2699630521 3856615030 5399261042 7713230060 10798522084 13498152605 26996305210 53992610420 87545161181 175090322362 350180644724 437725805905 612816128267 875451611810 1225632256534 1750903223620 2451264513068 3064080641335 6128161282670 12256322565340