Search a number
-
+
12133232223000 = 233537577772963
BaseRepresentation
bin1011000010001111110011…
…1111110010001100011000
31120221220222211000021211020
42300203330333302030120
53042242324422114000
641445532511002440
72361411543144360
oct260437477621430
946856884007736
1012133232223000
113958747305a09
12143b602b09420
136a020b1059b5
142dd37445d9a0
1516092e8e9ba0
hexb08fcff2318

12133232223000 has 128 divisors (see below), whose sum is σ = 43263639544320. Its totient is φ = 2773310217600.

The previous prime is 12133232222983. The next prime is 12133232223017. The reversal of 12133232223000 is 32223233121.

It is an interprime number because it is at equal distance from previous prime (12133232222983) and next prime (12133232223017).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288865482 + ... + 288907481.

It is an arithmetic number, because the mean of its divisors is an integer number (337997183940).

Almost surely, 212133232223000 is an apocalyptic number.

12133232223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133232223000 is an abundant number, since it is smaller than the sum of its proper divisors (31130407321320).

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

12133232223000 is a wasteful number, since it uses less digits than its factorization.

12133232223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577772994 (or 577772980 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12133232223000 its reverse (32223233121), we get a palindrome (12165455456121).

The spelling of 12133232223000 in words is "twelve trillion, one hundred thirty-three billion, two hundred thirty-two million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 577772963 1155545926 1733318889 2311091852 2888864815 3466637778 4044410741 4622183704 5777729630 6933275556 8088821482 8666594445 11555459260 12133232223 13866551112 14444324075 16177642964 17333188890 20222053705 23110918520 24266464446 28888648150 32355285928 34666377780 40444107410 43332972225 48532928892 57777296300 60666161115 69332755560 72221620375 80888214820 86665944450 97065857784 101110268525 115554592600 121332322230 144443240750 161776429640 173331888900 202220537050 216664861125 242664644460 288886481500 303330805575 346663777800 404441074100 433329722250 485329288920 505551342625 577772963000 606661611150 808882148200 866659444500 1011102685250 1213323222300 1516654027875 1733318889000 2022205370500 2426646444600 3033308055750 4044410741000 6066616111500 12133232223000