Search a number
-
+
12010002110000 = 245428311233779
BaseRepresentation
bin1010111011000100101111…
…1010001101011000110000
31120112010220200210221021222
42232301023322031120300
53033232441020010000
641313152510004212
72346460022363036
oct256611372153060
946463820727258
1012010002110000
113910460100114
12141b7514a6668
136916cc96857b
142d7404130556
1515c61b098a85
hexaec4be8d630

12010002110000 has 200 divisors, whose sum is σ = 29213875817280. Its totient is φ = 4781497248000.

The previous prime is 12010002109991. The next prime is 12010002110011. The reversal of 12010002110000 is 1120001021.

12010002110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12010002110000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3178088111 + ... + 3178091889.

Almost surely, 212010002110000 is an apocalyptic number.

12010002110000 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 12010002110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14606937908640).

12010002110000 is an abundant number, since it is smaller than the sum of its proper divisors (17203873707280).

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

12010002110000 is a wasteful number, since it uses less digits than its factorization.

12010002110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12010002110000 its reverse (1120001021), we get a palindrome (12011122111021).

The spelling of 12010002110000 in words is "twelve trillion, ten billion, two million, one hundred ten thousand".