Search a number
-
+
12002013221220 = 223251119243390493
BaseRepresentation
bin1010111010100110111110…
…1111000001000101100100
31120111101021221022100010100
42232221233233001011210
53033120110341034340
641305352044224100
72346055035061101
oct256515757010544
946441257270110
1012002013221220
1139080306317a0
12141a0a1b3b030
13690a28815a49
142d6c87119aa8
1515c2eea45830
hexaea6fbc1164

12002013221220 has 432 divisors, whose sum is σ = 42890973757632. Its totient is φ = 2692333002240.

The previous prime is 12002013221183. The next prime is 12002013221249. The reversal of 12002013221220 is 2212231020021.

12002013221220 is a `hidden beast` number, since 1 + 20 + 0 + 201 + 3 + 221 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12002013221193 and 12002013221202.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 30540294 + ... + 30930786.

It is an arithmetic number, because the mean of its divisors is an integer number (99284661476).

Almost surely, 212002013221220 is an apocalyptic number.

12002013221220 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 12002013221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21445486878816).

12002013221220 is an abundant number, since it is smaller than the sum of its proper divisors (30888960536412).

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

12002013221220 is a wasteful number, since it uses less digits than its factorization.

12002013221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390600 (or 390576 counting only the distinct ones).

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

Adding to 12002013221220 its reverse (2212231020021), we get a palindrome (14214244241241).

The spelling of 12002013221220 in words is "twelve trillion, two billion, thirteen million, two hundred twenty-one thousand, two hundred twenty".