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120201021000 = 23325313355669
BaseRepresentation
bin110111111110010001…
…0100000011001001000
3102111021000102112110200
41233330202200121020
53432132430133000
6131115233012200
711453456551314
oct1577442403110
9374230375420
10120201021000
1146a82385185
121b3670b4060
13b447a3b2c8
145b63d12b44
1531d7962500
hex1bfc8a0648

120201021000 has 96 divisors (see below), whose sum is σ = 406279481400. Its totient is φ = 32053603200.

The previous prime is 120201020987. The next prime is 120201021011. The reversal of 120201021000 is 120102021.

It can be written as a sum of positive squares in 4 ways, for example, as 32337390276 + 87863630724 = 179826^2 + 296418^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 6668835 + ... + 6686834.

Almost surely, 2120201021000 is an apocalyptic number.

120201021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201021000 is an abundant number, since it is smaller than the sum of its proper divisors (286078460400).

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

120201021000 is a wasteful number, since it uses less digits than its factorization.

120201021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13355696 (or 13355679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120201021000 its reverse (120102021), we get a palindrome (120321123021).

The spelling of 120201021000 in words is "one hundred twenty billion, two hundred one million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 13355669 26711338 40067007 53422676 66778345 80134014 106845352 120201021 133556690 160268028 200335035 240402042 267113380 320536056 333891725 400670070 480804084 534226760 601005105 667783450 801340140 961608168 1001675175 1202010210 1335566900 1602680280 1669458625 2003350350 2404020420 2671133800 3005025525 3338917250 4006700700 4808040840 5008375875 6010051050 6677834500 8013401400 10016751750 12020102100 13355669000 15025127625 20033503500 24040204200 30050255250 40067007000 60100510500 120201021000