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12232124240 = 2457177118097
BaseRepresentation
bin10110110010001011…
…10110011101010000
31011120110220021221112
423121011312131100
5200022410433430
65341440512452
7612060224540
oct133105663520
934513807845
1012232124240
115207795a96
12245461b728
1311cc28894b
148407a3320
154b8d23195
hex2d9176750

12232124240 has 160 divisors (see below), whose sum is σ = 34901051904. Its totient is φ = 3891363840.

The previous prime is 12232124221. The next prime is 12232124297. The reversal of 12232124240 is 4242123221.

12232124240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 666872 + ... + 684968.

Almost surely, 212232124240 is an apocalyptic number.

12232124240 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 12232124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17450525952).

12232124240 is an abundant number, since it is smaller than the sum of its proper divisors (22668927664).

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

12232124240 is a wasteful number, since it uses less digits than its factorization.

12232124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18205 (or 18199 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12232124240 its reverse (4242123221), we get a palindrome (16474247461).

The spelling of 12232124240 in words is "twelve billion, two hundred thirty-two million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 71 80 85 112 119 136 140 142 170 238 272 280 284 340 355 476 497 560 568 595 680 710 952 994 1136 1190 1207 1360 1420 1904 1988 2380 2414 2485 2840 3976 4760 4828 4970 5680 6035 7952 8449 9520 9656 9940 12070 16898 18097 19312 19880 24140 33796 36194 39760 42245 48280 67592 72388 84490 90485 96560 126679 135184 144776 168980 180970 253358 289552 307649 337960 361940 506716 615298 633395 675920 723880 1013432 1230596 1266790 1284887 1447760 1538245 2026864 2153543 2461192 2533580 2569774 3076490 4307086 4922384 5067160 5139548 6152980 6424435 8614172 8994209 10134320 10279096 10767715 12305960 12848870 17228344 17988418 20558192 21535430 21843079 24611920 25697740 34456688 35976836 43070860 43686158 44971045 51395480 71953672 86141720 87372316 89942090 102790960 109215395 143907344 152901553 172283440 174744632 179884180 218430790 305803106 349489264 359768360 436861580 611606212 719536720 764507765 873723160 1223212424 1529015530 1747446320 2446424848 3058031060 6116062120 12232124240