Search a number
-
+
12195997119792 = 2432508716649189
BaseRepresentation
bin1011000101111001101000…
…0100110111010100110000
31121011221000000020101221100
42301132122010313110300
53044304400230313132
641534432544324400
72366063115025563
oct261363204672460
947157000211840
1012195997119792
113982325474942
12144b7ba913700
136a610161c395
1430240a1da4da
151623a4c5137c
hexb179a137530

12195997119792 has 60 divisors (see below), whose sum is σ = 34138564724160. Its totient is φ = 4064532968064.

The previous prime is 12195997119773. The next prime is 12195997119827. The reversal of 12195997119792 is 29791179959121.

12195997119792 is a `hidden beast` number, since 1 + 2 + 19 + 599 + 7 + 1 + 19 + 7 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12195997119792.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7592067 + ... + 9057122.

It is an arithmetic number, because the mean of its divisors is an integer number (568976078736).

Almost surely, 212195997119792 is an apocalyptic number.

12195997119792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12195997119792 is an abundant number, since it is smaller than the sum of its proper divisors (21942567604368).

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

12195997119792 is a wasteful number, since it uses less digits than its factorization.

12195997119792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16654290 (or 16654281 counting only the distinct ones).

The product of its digits is 57868020, while the sum is 72.

The spelling of 12195997119792 in words is "twelve trillion, one hundred ninety-five billion, nine hundred ninety-seven million, one hundred nineteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5087 10174 15261 20348 30522 40696 45783 61044 81392 91566 122088 183132 244176 366264 732528 16649189 33298378 49947567 66596756 99895134 133193512 149842701 199790268 266387024 299685402 399580536 599370804 799161072 1198741608 2397483216 84694424443 169388848886 254083273329 338777697772 508166546658 677555395544 762249819987 1016333093316 1355110791088 1524499639974 2032666186632 3048999279948 4065332373264 6097998559896 12195997119792