Search a number
-
+
12330222039975 = 352731799738581
BaseRepresentation
bin1011001101101101101010…
…0000010011001110100111
31121122202110101002211111110
42303123122200103032213
53104004243320234400
642120231550240103
72411554253024520
oct263333240231647
947582411084443
1012330222039975
113a24243991044
12147181a4b6033
136b59728b6688
14308b00847847
15165b0d967e50
hexb36da8133a7

12330222039975 has 48 divisors (see below), whose sum is σ = 23299012339200. Its totient is φ = 5636488041600.

The previous prime is 12330222039973. The next prime is 12330222039977. The reversal of 12330222039975 is 57993022203321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12330222039973) and next prime (12330222039977).

It is not a de Polignac number, because 12330222039975 - 21 = 12330222039973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330222039973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16325185 + ... + 17063765.

It is an arithmetic number, because the mean of its divisors is an integer number (485396090400).

Almost surely, 212330222039975 is an apocalyptic number.

12330222039975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12330222039975 is a deficient number, since it is larger than the sum of its proper divisors (10968790299225).

12330222039975 is a wasteful number, since it uses less digits than its factorization.

12330222039975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770400 (or 770395 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 12330222039975 in words is "twelve trillion, three hundred thirty billion, two hundred twenty-two million, thirty-nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 31799 95397 158995 222593 476985 667779 738581 794975 1112965 2215743 2384925 3338895 3692905 5170067 5564825 11078715 15510201 16694475 18464525 25850335 55393575 77551005 129251675 387755025 23486137219 70458411657 117430686095 164402960533 352292058285 493208881599 587153430475 822014802665 1761460291425 2466044407995 4110074013325 12330222039975