Search a number
-
+
12200111131201 = 7172653214143
BaseRepresentation
bin1011000110001000111101…
…0010100100101001000001
31121012022121201110211122021
42301202033102210221001
53044341311422144301
641540353110041441
72366300061402130
oct261421722445101
947168551424567
1012200111131201
11398404674a574
121450568649281
136a6608a4bc66
143026ba74b917
15162545ee78a1
hexb188f4a4a41

12200111131201 has 36 divisors (see below), whose sum is σ = 14835171000832. Its totient is φ = 9826339486464.

The previous prime is 12200111131199. The next prime is 12200111131259. The reversal of 12200111131201 is 10213111100221.

It is a happy number.

It is not a de Polignac number, because 12200111131201 - 21 = 12200111131199 is a prime.

It is a super-2 number, since 2×122001111312012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12200111131261) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 862618336 + ... + 862632478.

Almost surely, 212200111131201 is an apocalyptic number.

It is an amenable number.

12200111131201 is a deficient number, since it is larger than the sum of its proper divisors (2635059869631).

12200111131201 is an frugal number, since it uses more digits than its factorization.

12200111131201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15490 (or 14820 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12200111131201 its reverse (10213111100221), we get a palindrome (22413222231422).

The spelling of 12200111131201 in words is "twelve trillion, two hundred billion, one hundred eleven million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 7 17 119 289 653 2023 4571 11101 14143 77707 99001 188717 240431 426409 1321019 1683017 2984863 4087327 7248953 9235379 28611289 50742671 64647653 123232201 157001443 862625407 1099010101 2669024531 6030702487 18683171717 42214917409 102521942279 717653595953 1742873018743 12200111131201