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12332031120 = 24325169710093
BaseRepresentation
bin10110111110000101…
…11101110010010000
31011211102220002102100
423133002331302100
5200223444443440
65355410120400
7614412351333
oct133702756220
934742802370
1012332031120
115259123562
122481b80100
131216b98c46
1484db6c61a
154c29aa230
hex2df0bdc90

12332031120 has 120 divisors (see below), whose sum is σ = 41443581816. Its totient is φ = 3286278144.

The previous prime is 12332031113. The next prime is 12332031121. The reversal of 12332031120 is 2113023321.

12332031120 is a `hidden beast` number, since 1 + 2 + 332 + 0 + 311 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4186607616 + 8145423504 = 64704^2 + 90252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12332031093 and 12332031102.

It is not an unprimeable number, because it can be changed into a prime (12332031121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216794 + ... + 1226886.

Almost surely, 212332031120 is an apocalyptic number.

12332031120 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 12332031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20721790908).

12332031120 is an abundant number, since it is smaller than the sum of its proper divisors (29111550696).

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

12332031120 is a wasteful number, since it uses less digits than its factorization.

12332031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11809 (or 11800 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12332031120 its reverse (2113023321), we get a palindrome (14445054441).

The spelling of 12332031120 in words is "twelve billion, three hundred thirty-two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1697 3394 5091 6788 8485 10093 10182 13576 15273 16970 20186 20364 25455 27152 30279 30546 33940 40372 40728 50465 50910 60558 61092 67880 76365 80744 81456 90837 100930 101820 121116 122184 135760 151395 152730 161488 181674 201860 203640 242232 244368 302790 305460 363348 403720 407280 454185 484464 605580 610920 726696 807440 908370 1211160 1221840 1453392 1816740 2422320 3633480 7266960 17127821 34255642 51383463 68511284 85639105 102766926 137022568 154150389 171278210 205533852 256917315 274045136 308300778 342556420 411067704 513834630 616601556 685112840 770751945 822135408 1027669260 1233203112 1370225680 1541503890 2055338520 2466406224 3083007780 4110677040 6166015560 12332031120