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1211343012 = 2234112831201
BaseRepresentation
bin100100000110011…
…1010000010100100
310010102100121020000
41020030322002210
54440100434022
6320111141300
742006150165
oct11014720244
93112317200
101211343012
11571853a30
12299814830
13163c66419
14b6c4376c
157152b6ac
hex4833a0a4

1211343012 has 120 divisors (see below), whose sum is σ = 3469664352. Its totient is φ = 365472000.

The previous prime is 1211342921. The next prime is 1211343061. The reversal of 1211343012 is 2103431121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1008012 + ... + 1009212.

Almost surely, 21211343012 is an apocalyptic number.

1211343012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211343012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734832176).

1211343012 is an abundant number, since it is smaller than the sum of its proper divisors (2258321340).

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

1211343012 is a wasteful number, since it uses less digits than its factorization.

1211343012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1211343012 is about 34804.3533483959. The cubic root of 1211343012 is about 1065.9963379895.

Adding to 1211343012 its reverse (2103431121), we get a palindrome (3314774133).

The spelling of 1211343012 in words is "one billion, two hundred eleven million, three hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 283 297 324 396 566 594 849 891 1132 1188 1201 1698 1782 2402 2547 3113 3396 3564 3603 4804 5094 6226 7206 7641 9339 10188 10809 12452 13211 14412 15282 18678 21618 22923 26422 28017 30564 32427 37356 39633 43236 45846 52844 56034 64854 79266 84051 91692 97281 112068 118899 129708 158532 168102 194562 237798 252153 336204 339883 356697 389124 475596 504306 679766 713394 1008612 1019649 1070091 1359532 1426788 2039298 2140182 3058947 3738713 4078596 4280364 6117894 7477426 9176841 11216139 12235788 14954852 18353682 22432278 27530523 33648417 36707364 44864556 55061046 67296834 100945251 110122092 134593668 201890502 302835753 403781004 605671506 1211343012