Search a number
-
+
12033202203220 = 22511199274856149
BaseRepresentation
bin1010111100011011001010…
…1111100010101001010100
31120121100210112212210011211
42233012302233202221110
53034122444231000340
641331550552311204
72351240653045552
oct257066257425124
946540715783154
1012033202203220
11391a285a36580
1214241470a2504
13693959315293
142d85a5426bd2
1515d027c305ea
hexaf1b2be2a54

12033202203220 has 48 divisors (see below), whose sum is σ = 27705499920000. Its totient is φ = 4353721384320.

The previous prime is 12033202203199. The next prime is 12033202203221. The reversal of 12033202203220 is 2230220233021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12033202203191 and 12033202203200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033202203221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137384295 + ... + 137471854.

It is an arithmetic number, because the mean of its divisors is an integer number (577197915000).

Almost surely, 212033202203220 is an apocalyptic number.

12033202203220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12033202203220 is an abundant number, since it is smaller than the sum of its proper divisors (15672297716780).

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

12033202203220 is a wasteful number, since it uses less digits than its factorization.

12033202203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274856368 (or 274856366 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 12033202203220 its reverse (2230220233021), we get a palindrome (14263422436241).

The spelling of 12033202203220 in words is "twelve trillion, thirty-three billion, two hundred two million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3980 4378 8756 10945 21890 43780 274856149 549712298 1099424596 1374280745 2748561490 3023417639 5497122980 6046835278 12093670556 15117088195 30234176390 54696373651 60468352780 109392747302 218785494604 273481868255 546963736510 601660110161 1093927473020 1203320220322 2406640440644 3008300550805 6016601101610 12033202203220