Search a number
-
+
12000202212012 = 22371371042770439
BaseRepresentation
bin1010111010100000001111…
…0010100100001010101100
31120111012121201120112112020
42232220003302210022230
53033102403231241022
641304452232110140
72345662124541630
oct256500362441254
946435551515466
1012000202212012
113907291338773
121419877535350
136907ca56c971
142d6b547b8dc0
1515c245a6535c
hexaea03ca42ac

12000202212012 has 48 divisors (see below), whose sum is σ = 32234119841280. Its totient is φ = 3403602709632.

The previous prime is 12000202211999. The next prime is 12000202212013. The reversal of 12000202212012 is 21021220200021.

It is a junction number, because it is equal to n+sod(n) for n = 12000202211982 and 12000202212000.

It is not an unprimeable number, because it can be changed into a prime (12000202212013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 521373712 + ... + 521396727.

It is an arithmetic number, because the mean of its divisors is an integer number (671544163360).

Almost surely, 212000202212012 is an apocalyptic number.

12000202212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000202212012 is an abundant number, since it is smaller than the sum of its proper divisors (20233917629268).

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

12000202212012 is a wasteful number, since it uses less digits than its factorization.

12000202212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042770590 (or 1042770588 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12000202212012 its reverse (21021220200021), we get a palindrome (33021422412033).

The spelling of 12000202212012 in words is "twelve trillion, two hundred two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1918 2877 3836 5754 11508 1042770439 2085540878 3128311317 4171081756 6256622634 7299393073 12513245268 14598786146 21898179219 29197572292 43796358438 87592716876 142859550143 285719100286 428578650429 571438200572 857157300858 1000016851001 1714314601716 2000033702002 3000050553003 4000067404004 6000101106006 12000202212012