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12115350042400 = 2552118316587281
BaseRepresentation
bin1011000001001101001100…
…1000101011011100100000
31120220012211120112101122001
42300103103020223130200
53041444214102324100
641433414233453344
72360206445132143
oct260232310533440
946805746471561
1012115350042400
113951100285a60
121438052271254
1369b61b417947
142dc55954205a
15160234a65d6a
hexb04d322b720

12115350042400 has 144 divisors (see below), whose sum is σ = 32654121439968. Its totient is φ = 4352502272000.

The previous prime is 12115350042343. The next prime is 12115350042421. The reversal of 12115350042400 is 424005351121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7563241 + ... + 9024040.

It is an arithmetic number, because the mean of its divisors is an integer number (226764732222).

Almost surely, 212115350042400 is an apocalyptic number.

12115350042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12115350042400 is an abundant number, since it is smaller than the sum of its proper divisors (20538771397568).

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

12115350042400 is a wasteful number, since it uses less digits than its factorization.

12115350042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16587395 (or 16587382 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 12115350042400 its reverse (424005351121), we get a palindrome (12539355393521).

The spelling of 12115350042400 in words is "twelve trillion, one hundred fifteen billion, three hundred fifty million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 83 88 100 110 160 166 176 200 220 275 332 352 400 415 440 550 664 800 830 880 913 1100 1328 1660 1760 1826 2075 2200 2656 3320 3652 4150 4400 4565 6640 7304 8300 8800 9130 13280 14608 16600 18260 22825 29216 33200 36520 45650 66400 73040 91300 146080 182600 365200 730400 16587281 33174562 66349124 82936405 132698248 165872810 182460091 265396496 331745620 364920182 414682025 530792992 663491240 729840364 829364050 912300455 1326982480 1376744323 1459680728 1658728100 1824600910 2653964960 2753488646 2919361456 3317456200 3649201820 4561502275 5506977292 5838722912 6634912400 6883721615 7298403640 9123004550 11013954584 13269824800 13767443230 14596807280 15144187553 18246009100 22027909168 27534886460 29193614560 30288375106 34418608075 36492018200 44055818336 55069772920 60576750212 68837216150 72984036400 75720937765 110139545840 121153500424 137674432300 145968072800 151441875530 220279091680 242307000848 275348864600 302883751060 378604688825 484614001696 550697729200 605767502120 757209377650 1101395458400 1211535004240 1514418755300 2423070008480 3028837510600 6057675021200 12115350042400