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1212132141 = 331123111193
BaseRepresentation
bin100100000111111…
…1010101100101101
310010110211200201000
41020033322230231
54440301212031
6320140110513
742015644643
oct11017725455
93113750630
101212132141
11572242900
12299b35439
1316418166c
14b6dab193
15716353e6
hex483fab2d

1212132141 has 48 divisors (see below), whose sum is σ = 1981848960. Its totient is φ = 731649600.

The previous prime is 1212132121. The next prime is 1212132143. The reversal of 1212132141 is 1412312121.

It is not a de Polignac number, because 1212132141 - 29 = 1212131629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212132143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015441 + ... + 1016633.

It is an arithmetic number, because the mean of its divisors is an integer number (41288520).

Almost surely, 21212132141 is an apocalyptic number.

1212132141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1212132141 is a deficient number, since it is larger than the sum of its proper divisors (769716819).

1212132141 is a wasteful number, since it uses less digits than its factorization.

1212132141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1518 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1212132141 is about 34815.6881448579. The cubic root of 1212132141 is about 1066.2277687275.

Adding to 1212132141 its reverse (1412312121), we get a palindrome (2624444262).

The spelling of 1212132141 in words is "one billion, two hundred twelve million, one hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 99 121 297 311 363 933 1089 1193 2799 3267 3421 3579 8397 10263 10737 13123 30789 32211 37631 39369 92367 112893 118107 144353 338679 354321 371023 433059 1016037 1113069 1299177 3339207 3897531 4081253 10017621 12243759 36731277 44893783 110193831 134681349 404044047 1212132141