Search a number
-
+
12120022143225 = 3252194365932393
BaseRepresentation
bin1011000001011110100110…
…0111010101000011111001
31120220122220011220201002100
42300113221213111003321
53042033301132040400
641435510013054013
72360433306261303
oct260275147250371
946818804821070
1012120022143225
113953088593507
121438b36a87309
1369bbb435aa49
142dc87dc4a973
15160409cec100
hexb05e99d50f9

12120022143225 has 72 divisors (see below), whose sum is σ = 23382264208160. Its totient is φ = 5981386602240.

The previous prime is 12120022143217. The next prime is 12120022143253. The reversal of 12120022143225 is 52234122002121.

12120022143225 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 0 + 221 + 432 + 2 + 5 = 666.

It is not a de Polignac number, because 12120022143225 - 23 = 12120022143217 is a prime.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 32782372 + ... + 33150021.

Almost surely, 212120022143225 is an apocalyptic number.

12120022143225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12120022143225 is a deficient number, since it is larger than the sum of its proper divisors (11262242064935).

12120022143225 is a wasteful number, since it uses less digits than its factorization.

12120022143225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65932471 (or 65932463 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12120022143225 its reverse (52234122002121), we get a palindrome (64354144145346).

The spelling of 12120022143225 in words is "twelve trillion, one hundred twenty billion, twenty-two million, one hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 43 45 57 75 95 129 171 215 225 285 387 475 645 817 855 1075 1425 1935 2451 3225 4085 4275 7353 9675 12255 20425 36765 61275 183825 65932393 197797179 329661965 593391537 988985895 1252715467 1648309825 2835092899 2966957685 3758146401 4944929475 6263577335 8505278697 11274439203 14175464495 14834788425 18790732005 25515836091 31317886675 42526393485 53866765081 56372196015 70877322475 93953660025 127579180455 161600295243 212631967425 269333825405 281860980075 484800885729 637895902275 808001476215 1346669127025 2424004428645 4040007381075 12120022143225