Search a number
-
+
12010120200012 = 22311429672117573
BaseRepresentation
bin1010111011000101001011…
…1100101011111101001100
31120112011012221000112100010
42232301102330223331030
53033233211232400022
641313212325033220
72346462655210554
oct256612274537514
946464187015303
1012010120200012
113910510827970
12141b784b55810
1369171b27400c
142d7415ab0164
1515c62662350c
hexaec52f2bf4c

12010120200012 has 48 divisors (see below), whose sum is σ = 30571940996352. Its totient is φ = 3639343942080.

The previous prime is 12010120199953. The next prime is 12010120200047. The reversal of 12010120200012 is 21000202101021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4612858 + ... + 6730430.

It is an arithmetic number, because the mean of its divisors is an integer number (636915437424).

Almost surely, 212010120200012 is an apocalyptic number.

12010120200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12010120200012 is an abundant number, since it is smaller than the sum of its proper divisors (18561820796340).

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

12010120200012 is a wasteful number, since it uses less digits than its factorization.

12010120200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160558 (or 2160556 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12010120200012 its reverse (21000202101021), we get a palindrome (33010322301033).

The spelling of 12010120200012 in words is "twelve trillion, ten billion, one hundred twenty million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 42967 85934 128901 171868 257802 472637 515604 945274 1417911 1890548 2117573 2835822 4235146 5671644 6352719 8470292 12705438 23293303 25410876 46586606 69879909 93173212 139759818 279519636 90985759091 181971518182 272957277273 363943036364 545914554546 1000843350001 1091829109092 2001686700002 3002530050003 4003373400004 6005060100006 12010120200012