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12270727000 = 235372250423
BaseRepresentation
bin10110110110110010…
…00110111101011000
31011200011112111222101
423123121012331120
5200112301231000
65345340133144
7613036313200
oct133331067530
934604474871
1012270727000
1152275618a4
1224655371b4
13120728350c
14845971400
154bc3eae6a
hex2db646f58

12270727000 has 96 divisors (see below), whose sum is σ = 33401553120. Its totient is φ = 4207089600.

The previous prime is 12270726991. The next prime is 12270727013. The reversal of 12270727000 is 72707221.

It is a super-2 number, since 2×122707270002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12270727000.

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 23 ways as a sum of consecutive naturals, for example, 76212 + ... + 174211.

It is an arithmetic number, because the mean of its divisors is an integer number (347932845).

Almost surely, 212270727000 is an apocalyptic number.

12270727000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12270727000 is an abundant number, since it is smaller than the sum of its proper divisors (21130826120).

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

12270727000 is a wasteful number, since it uses less digits than its factorization.

12270727000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250458 (or 250437 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The spelling of 12270727000 in words is "twelve billion, two hundred seventy million, seven hundred twenty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 250423 500846 1001692 1252115 1752961 2003384 2504230 3505922 5008460 6260575 7011844 8764805 10016920 12270727 12521150 14023688 17529610 24541454 25042300 31302875 35059220 43824025 49082908 50084600 61353635 62605750 70118440 87648050 98165816 122707270 125211500 175296100 219120125 245414540 250423000 306768175 350592200 438240250 490829080 613536350 876480500 1227072700 1533840875 1752961000 2454145400 3067681750 6135363500 12270727000