Search a number
-
+
12022221000312 = 233355658430557
BaseRepresentation
bin1010111011110010010000…
…1101100100111001111000
31120120022110020210212201000
42232330210031210321320
53033433002034002222
641322533155125000
72350401562261665
oct256744415447170
946508406725630
1012022221000312
113915660377276
121421ba15a3760
136928c926c693
142d7c42c4aa6c
1515cad3b559ac
hexaef24364e78

12022221000312 has 32 divisors (see below), whose sum is σ = 33395058334800. Its totient is φ = 4007407000032.

The previous prime is 12022221000277. The next prime is 12022221000343. The reversal of 12022221000312 is 21300012222021.

12022221000312 is a `hidden beast` number, since 120 + 2 + 22 + 210 + 0 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 27829215063 + ... + 27829215494.

Almost surely, 212022221000312 is an apocalyptic number.

12022221000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12022221000312 is an abundant number, since it is smaller than the sum of its proper divisors (21372837334488).

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

12022221000312 is a wasteful number, since it uses less digits than its factorization.

12022221000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55658430572 (or 55658430562 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12022221000312 its reverse (21300012222021), we get a palindrome (33322233222333).

The spelling of 12022221000312 in words is "twelve trillion, twenty-two billion, two hundred twenty-one million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 55658430557 111316861114 166975291671 222633722228 333950583342 445267444456 500925875013 667901166684 1001851750026 1335802333368 1502777625039 2003703500052 3005555250078 4007407000104 6011110500156 12022221000312