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12120331344 = 24311192352529
BaseRepresentation
bin10110100100110110…
…11001010001010000
31011021200112121220220
423102123121101100
5144310301100334
65322404433040
7606232054662
oct132233312120
934250477826
1012120331344
11515a67a370
1224230a8780
1311b20764c4
1482d9c2532
154ae0de449
hex2d26d9450

12120331344 has 160 divisors (see below), whose sum is σ = 37519027200. Its totient is φ = 3328174080.

The previous prime is 12120331337. The next prime is 12120331429. The reversal of 12120331344 is 44313302121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204472 + ... + 257000.

It is an arithmetic number, because the mean of its divisors is an integer number (234493920).

Almost surely, 212120331344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18759513600).

12120331344 is an abundant number, since it is smaller than the sum of its proper divisors (25398695856).

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

12120331344 is a wasteful number, since it uses less digits than its factorization.

12120331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52593 (or 52587 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12120331344 its reverse (44313302121), we get a palindrome (56433633465).

The spelling of 12120331344 in words is "twelve billion, one hundred twenty million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 23 24 33 38 44 46 48 57 66 69 76 88 92 114 132 138 152 176 184 209 228 253 264 276 304 368 418 437 456 506 528 552 627 759 836 874 912 1012 1104 1254 1311 1518 1672 1748 2024 2508 2622 3036 3344 3496 4048 4807 5016 5244 6072 6992 9614 10032 10488 12144 14421 19228 20976 28842 38456 52529 57684 76912 105058 115368 157587 210116 230736 315174 420232 577819 630348 840464 998051 1155638 1208167 1260696 1733457 1996102 2311276 2416334 2521392 2994153 3466914 3624501 3992204 4622552 4832668 5988306 6933828 7249002 7984408 9245104 9665336 10978561 11976612 13289837 13867656 14498004 15968816 19330672 21957122 22955173 23953224 26579674 27735312 28996008 32935683 39869511 43914244 45910346 47906448 53159348 57992016 65871366 68865519 79739022 87828488 91820692 106318696 131742732 137731038 159478044 175656976 183641384 212637392 252506903 263485464 275462076 318956088 367282768 505013806 526970928 550924152 637912176 757520709 1010027612 1101848304 1515041418 2020055224 3030082836 4040110448 6060165672 12120331344