Search a number
-
+
12012202202000 = 2453711136000101
BaseRepresentation
bin1010111011001100111100…
…0010111001001110010000
31120112100121000200012010212
42232303033002321032100
53033301442230431000
641314155101343252
72346565366014320
oct256631702711620
946470530605125
1012012202202000
113911389a92870
121420066267b28
136919906cca60
142d75723d3280
1515c6e92d2c35
hexaeccf0b9390

12012202202000 has 320 divisors, whose sum is σ = 38998166957568. Its totient is φ = 3456057600000.

The previous prime is 12012202201999. The next prime is 12012202202009. The reversal of 12012202202000 is 20220221021.

12012202202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12012202202009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 998051 + ... + 5002050.

Almost surely, 212012202202000 is an apocalyptic number.

12012202202000 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 12012202202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19499083478784).

12012202202000 is an abundant number, since it is smaller than the sum of its proper divisors (26985964755568).

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

12012202202000 is a wasteful number, since it uses less digits than its factorization.

12012202202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000155 (or 6000139 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12012202202000 its reverse (20220221021), we get a palindrome (12032422423021).

The spelling of 12012202202000 in words is "twelve trillion, twelve billion, two hundred two million, two hundred two thousand".