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12211332312330 = 2325135681470137
BaseRepresentation
bin1011000110110010110000…
…0111111110110100001010
31121020101120202002220100100
42301230230013332310022
53100032302032443310
641545450354550230
72400145125020664
oct261545407766412
947211522086310
1012211332312330
113988884817a88
12145277a598376
136a76a67387c8
14303062b55534
151629a11c6ec0
hexb1b2c1fed0a

12211332312330 has 24 divisors (see below), whose sum is σ = 31749464012292. Its totient is φ = 3256355283264.

The previous prime is 12211332312299. The next prime is 12211332312359. The reversal of 12211332312330 is 3321323311221.

12211332312330 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 3 + 323 + 1 + 2 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11643948256329 + 567384056001 = 3412323^2 + 753249^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12211332312294 and 12211332312303.

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 11 ways as a sum of consecutive naturals, for example, 67840734979 + ... + 67840735158.

Almost surely, 212211332312330 is an apocalyptic number.

12211332312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12211332312330 is an abundant number, since it is smaller than the sum of its proper divisors (19538131699962).

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

12211332312330 is a wasteful number, since it uses less digits than its factorization.

12211332312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135681470150 (or 135681470147 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12211332312330 its reverse (3321323311221), we get a palindrome (15532655623551).

The spelling of 12211332312330 in words is "twelve trillion, two hundred eleven billion, three hundred thirty-two million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 135681470137 271362940274 407044410411 678407350685 814088820822 1221133231233 1356814701370 2035222052055 2442266462466 4070444104110 6105666156165 12211332312330