Search a number
-
+
120201202000 = 2453116019091
BaseRepresentation
bin110111111110010001…
…1001100100101010000
3102111021000202201202101
41233330203030211100
53432133001431000
6131115240530144
711453461234105
oct1577443144520
9374230681671
10120201202000
1146a82499170
121b367180954
13b447aa27c9
145b63d5caac
1531d799ae6a
hex1bfc8cc950

120201202000 has 160 divisors (see below), whose sum is σ = 317631420288. Its totient is φ = 43632000000.

The previous prime is 120201201979. The next prime is 120201202039. The reversal of 120201202000 is 202102021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13217455 + ... + 13226545.

Almost surely, 2120201202000 is an apocalyptic number.

120201202000 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 120201202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158815710144).

120201202000 is an abundant number, since it is smaller than the sum of its proper divisors (197430218288).

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

120201202000 is a wasteful number, since it uses less digits than its factorization.

120201202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9726 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120201202000 its reverse (202102021), we get a palindrome (120403304021).

It can be divided in two parts, 12020 and 1202000, that multiplied together give a square (14448040000 = 1202002).

The spelling of 120201202000 in words is "one hundred twenty billion, two hundred one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 601 880 1000 1100 1202 1375 2000 2200 2404 2750 3005 4400 4808 5500 6010 6611 9091 9616 11000 12020 13222 15025 18182 22000 24040 26444 30050 33055 36364 45455 48080 52888 60100 66110 72728 75125 90910 100001 105776 120200 132220 145456 150250 165275 181820 200002 227275 240400 264440 300500 330550 363640 400004 454550 500005 528880 601000 661100 727280 800008 826375 909100 1000010 1136375 1202000 1322200 1600016 1652750 1818200 2000020 2272750 2500025 2644400 3305500 3636400 4000040 4545500 5000050 5463691 6611000 8000080 9091000 10000100 10927382 12500125 13222000 18182000 20000200 21854764 25000250 27318455 40000400 43709528 50000500 54636910 60100601 87419056 100001000 109273820 120201202 136592275 200002000 218547640 240402404 273184550 300503005 437095280 480804808 546369100 601006010 682961375 961609616 1092738200 1202012020 1365922750 1502515025 2185476400 2404024040 2731845500 3005030050 4808048080 5463691000 6010060100 7512575125 10927382000 12020120200 15025150250 24040240400 30050300500 60100601000 120201202000