Search a number
-
+
12127151712 = 2531343225983
BaseRepresentation
bin10110100101101010…
…11010011001100000
31011022011101010201010
423102311122121200
5144314022323322
65323210540520
7606344042304
oct132265323140
934264333633
1012127151712
115163508635
122425437740
1311b35c3a20
14830879d04
154ae9da20c
hex2d2d5a660

12127151712 has 96 divisors (see below), whose sum is σ = 35079948288. Its totient is φ = 3644637696.

The previous prime is 12127151693. The next prime is 12127151737. The reversal of 12127151712 is 21715172121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 12127151712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59328 + ... + 166655.

It is an arithmetic number, because the mean of its divisors is an integer number (365416128).

Almost surely, 212127151712 is an apocalyptic number.

12127151712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12127151712 is an abundant number, since it is smaller than the sum of its proper divisors (22952796576).

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

12127151712 is a wasteful number, since it uses less digits than its factorization.

12127151712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226052 (or 226044 counting only the distinct ones).

The product of its digits is 1960, while the sum is 30.

The spelling of 12127151712 in words is "twelve billion, one hundred twenty-seven million, one hundred fifty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 2064 2236 3354 4128 4472 6708 8944 13416 17888 26832 53664 225983 451966 677949 903932 1355898 1807864 2711796 2937779 3615728 5423592 5875558 7231456 8813337 9717269 10847184 11751116 17626674 19434538 21694368 23502232 29151807 35253348 38869076 47004464 58303614 70506696 77738152 94008928 116607228 126324497 141013392 155476304 233214456 252648994 282026784 310952608 378973491 466428912 505297988 757946982 932857824 1010595976 1515893964 2021191952 3031787928 4042383904 6063575856 12127151712