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12002113420 = 22511219299001
BaseRepresentation
bin10110010110110000…
…11011011110001100
31010222110002112102021
423023120123132030
5144040020112140
65302542535524
7603265165213
oct131330333614
933873075367
1012002113420
1150a9975500
1223ab5975a4
13119372477b
1481c00c07a
154a3a3bb4a
hex2cb61b78c

12002113420 has 144 divisors (see below), whose sum is σ = 30171103200. Its totient is φ = 3991680000.

The previous prime is 12002113399. The next prime is 12002113429. The reversal of 12002113420 is 2431120021.

It is a junction number, because it is equal to n+sod(n) for n = 12002113394 and 12002113403.

It is not an unprimeable number, because it can be changed into a prime (12002113429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328920 + ... + 1337920.

It is an arithmetic number, because the mean of its divisors is an integer number (209521550).

Almost surely, 212002113420 is an apocalyptic number.

12002113420 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 12002113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085551600).

12002113420 is an abundant number, since it is smaller than the sum of its proper divisors (18168989780).

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

12002113420 is a wasteful number, since it uses less digits than its factorization.

12002113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9080 (or 9067 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12002113420 its reverse (2431120021), we get a palindrome (14433233441).

The spelling of 12002113420 in words is "twelve billion, two million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 29 38 44 55 58 76 95 110 116 121 145 190 209 220 242 290 319 380 418 484 551 580 605 638 836 1045 1102 1210 1276 1595 2090 2204 2299 2420 2755 3190 3509 4180 4598 5510 6061 6380 7018 9001 9196 11020 11495 12122 14036 17545 18002 22990 24244 30305 35090 36004 45005 45980 60610 66671 70180 90010 99011 121220 133342 171019 180020 198022 261029 266684 333355 342038 396044 495055 522058 666710 684076 855095 990110 1044116 1089121 1305145 1333420 1710190 1881209 1980220 2178242 2610290 2871319 3420380 3762418 4356484 4959551 5220580 5445605 5742638 7524836 9406045 9919102 10891210 11485276 14356595 18812090 19838204 20693299 21782420 24797755 28713190 31584509 37624180 41386598 49595510 54555061 57426380 63169018 82773196 99191020 103466495 109110122 126338036 157922545 206932990 218220244 272775305 315845090 413865980 545550610 600105671 631690180 1091101220 1200211342 2400422684 3000528355 6001056710 12002113420