Search a number
-
+
120450221012000 = 2553112248864093
BaseRepresentation
bin11011011000110010000000…
…101000101111010000100000
3120210110221002000001011000202
4123120302000220233100200
5111241424023034341000
61104102022335404332
734241145522510605
oct3330620050572040
9523427060034022
10120450221012000
11354197196a3200
12116140873836a8
13522953a53ac59
1421a5b710546ac
15ddd2beeeddd5
hex6d8c80a2f420

120450221012000 has 144 divisors (see below), whose sum is σ = 325296230005656. Its totient is φ = 43800080192000.

The previous prime is 120450221011979. The next prime is 120450221012027. The reversal of 120450221012000 is 210122054021.

It can be written as a sum of positive squares in 4 ways, for example, as 46047244499344 + 74402976512656 = 6785812^2 + 8625716^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 123948047 + ... + 124916046.

Almost surely, 2120450221012000 is an apocalyptic number.

120450221012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120450221012000 is an abundant number, since it is smaller than the sum of its proper divisors (204846008993656).

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

120450221012000 is a wasteful number, since it uses less digits than its factorization.

120450221012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248864140 (or 248864111 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 120450221012000 its reverse (210122054021), we get a palindrome (120660343066021).

The spelling of 120450221012000 in words is "one hundred twenty trillion, four hundred fifty billion, two hundred twenty-one million, twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1100 1210 1375 1760 1936 2000 2200 2420 2750 3025 3872 4000 4400 4840 5500 6050 8800 9680 11000 12100 15125 19360 22000 24200 30250 44000 48400 60500 96800 121000 242000 484000 248864093 497728186 995456372 1244320465 1990912744 2488640930 2737505023 3981825488 4977281860 5475010046 6221602325 7963650976 9954563720 10950020092 12443204650 13687525115 19909127440 21900040184 24886409300 27375050230 30112555253 31108011625 39818254880 43800080368 49772818600 54750100460 60225110506 62216023250 68437625575 87600160736 99545637200 109500200920 120450221012 124432046500 136875251150 150562776265 199091274400 219000401840 240900442024 248864093000 273750502300 301125552530 342188127875 438000803680 481800884048 497728186000 547501004600 602251105060 684376255750 752813881325 963601768096 995456372000 1095002009200 1204502210120 1368752511500 1505627762650 2190004018400 2409004420240 2737505023000 3011255525300 3764069406625 4818008840480 5475010046000 6022511050600 7528138813250 10950020092000 12045022101200 15056277626500 24090044202400 30112555253000 60225110506000 120450221012000