Search a number
-
+
120002020223112 = 23321666694725321
BaseRepresentation
bin11011010010010000100101…
…110010011010100010001000
3120201220002012010012000001200
4123102100211302122202020
5111212103114134114422
61103120100025144200
734163600633614356
oct3322204562324210
9521802163160050
10120002020223112
1135266630a73795
121156124192b060
1351c61acb34b71
14218c1b34b07d6
15dd17dbbb02ac
hex6d2425c9a888

120002020223112 has 24 divisors (see below), whose sum is σ = 325005471437790. Its totient is φ = 40000673407680.

The previous prime is 120002020223023. The next prime is 120002020223117. The reversal of 120002020223112 is 211322020200021.

120002020223112 is a `hidden beast` number, since 1 + 200 + 0 + 20 + 202 + 231 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109859871736836 + 10142148486276 = 10481406^2 + 3184674^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120002020223117) 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 5 ways as a sum of consecutive naturals, for example, 833347362589 + ... + 833347362732.

Almost surely, 2120002020223112 is an apocalyptic number.

120002020223112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120002020223112 is an abundant number, since it is smaller than the sum of its proper divisors (205003451214678).

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

120002020223112 is a wasteful number, since it uses less digits than its factorization.

120002020223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666694725333 (or 1666694725326 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120002020223112 its reverse (211322020200021), we get a palindrome (331324040423133).

The spelling of 120002020223112 in words is "one hundred twenty trillion, two billion, twenty million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1666694725321 3333389450642 5000084175963 6666778901284 10000168351926 13333557802568 15000252527889 20000336703852 30000505055778 40000673407704 60001010111556 120002020223112