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12114212320 = 255717096329
BaseRepresentation
bin10110100100001000…
…00011010111100000
31011021021000202012101
423102010003113200
5144302214243240
65322025340144
7606126051160
oct132204032740
934237022171
1012114212320
115157180021
122421037654
1311b0a13292
1482cc6c5a0
154ad7d139a
hex2d21035e0

12114212320 has 96 divisors (see below), whose sum is σ = 32732683200. Its totient is φ = 4150358016.

The previous prime is 12114212273. The next prime is 12114212381. The reversal of 12114212320 is 2321241121.

It is a super-3 number, since 3×121142123203 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1910916 + ... + 1917244.

It is an arithmetic number, because the mean of its divisors is an integer number (340965450).

Almost surely, 212114212320 is an apocalyptic number.

12114212320 is a gapful number since it is divisible by the number (10) 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 12114212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16366341600).

12114212320 is an abundant number, since it is smaller than the sum of its proper divisors (20618470880).

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

12114212320 is a wasteful number, since it uses less digits than its factorization.

12114212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8060 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12114212320 its reverse (2321241121), we get a palindrome (14435453441).

The spelling of 12114212320 in words is "twelve billion, one hundred fourteen million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1709 3418 6329 6836 8545 11963 12658 13672 17090 23926 25316 27344 31645 34180 44303 47852 50632 54688 59815 63290 68360 88606 95704 101264 119630 126580 136720 177212 191408 202528 221515 239260 253160 273440 354424 382816 443030 478520 506320 708848 886060 957040 1012640 1417696 1772120 1914080 3544240 7088480 10816261 21632522 43265044 54081305 75713827 86530088 108162610 151427654 173060176 216325220 302855308 346120352 378569135 432650440 605710616 757138270 865300880 1211421232 1514276540 1730601760 2422842464 3028553080 6057106160 12114212320