Search a number
-
+
12012220121202 = 235729157775517
BaseRepresentation
bin1010111011001101000000…
…0111010000000001110010
31120112100122021101120200000
42232303100013100001302
53033302011322334302
641314200541410430
72346566004226020
oct256632007200162
946470567346600
1012012220121202
113911399111824
121420070269a16
13691994335032
142d7574939710
1515c6eab7231c
hexaecd01d0072

12012220121202 has 192 divisors, whose sum is σ = 32113145675520. Its totient is φ = 3292605179136.

The previous prime is 12012220121137. The next prime is 12012220121221. The reversal of 12012220121202 is 20212102221021.

It is a happy number.

12012220121202 is a `hidden beast` number, since 120 + 1 + 2 + 220 + 121 + 202 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15101548 + ... + 15877064.

It is an arithmetic number, because the mean of its divisors is an integer number (167255967060).

Almost surely, 212012220121202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012220121202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056572837760).

12012220121202 is an abundant number, since it is smaller than the sum of its proper divisors (20100925554318).

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

12012220121202 is a wasteful number, since it uses less digits than its factorization.

12012220121202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775727 (or 775715 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12012220121202 its reverse (20212102221021), we get a palindrome (32224322342223).

The spelling of 12012220121202 in words is "twelve trillion, twelve billion, two hundred twenty million, one hundred twenty-one thousand, two hundred two".