Search a number
-
+
1201012122300 = 2235217907259639
BaseRepresentation
bin10001011110100001111…
…001101010001010111100
311020211000121012020202120
4101132201321222022330
5124134133100403200
62315423133522540
7152525125412634
oct21364171521274
94224017166676
101201012122300
1142338a03a601
12174920643450
13893411aa743
14421b4b0d6c4
15213939b39a0
hex117a1e6a2bc

1201012122300 has 144 divisors (see below), whose sum is σ = 3683406746880. Its totient is φ = 301096995840.

The previous prime is 1201012122281. The next prime is 1201012122311. The reversal of 1201012122300 is 32212101021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1201012122300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4495881 + ... + 4755519.

It is an arithmetic number, because the mean of its divisors is an integer number (25579213520).

Almost surely, 21201012122300 is an apocalyptic number.

1201012122300 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 1201012122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841703373440).

1201012122300 is an abundant number, since it is smaller than the sum of its proper divisors (2482394624580).

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

1201012122300 is a wasteful number, since it uses less digits than its factorization.

1201012122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260580 (or 260573 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1201012122300 its reverse (32212101021), we get a palindrome (1233224223321).

The spelling of 1201012122300 in words is "one trillion, two hundred one billion, twelve million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 907 1020 1275 1700 1814 2550 2721 3628 4535 5100 5442 9070 10884 13605 15419 18140 22675 27210 30838 45350 46257 54420 61676 68025 77095 90700 92514 136050 154190 185028 231285 259639 272100 308380 385475 462570 519278 770950 778917 925140 1038556 1156425 1298195 1541900 1557834 2312850 2596390 3115668 3894585 4413863 4625700 5192780 6490975 7789170 8827726 12981950 13241589 15578340 17655452 19472925 22069315 25963900 26483178 38945850 44138630 52966356 66207945 77891700 88277260 110346575 132415890 220693150 235492573 264831780 331039725 441386300 470985146 662079450 706477719 941970292 1177462865 1324158900 1412955438 2354925730 2825910876 3532388595 4003373741 4709851460 5887314325 7064777190 8006747482 11774628650 12010121223 14129554380 16013494964 17661942975 20016868705 23549257300 24020242446 35323885950 40033737410 48040484892 60050606115 70647771900 80067474820 100084343525 120101212230 200168687050 240202424460 300253030575 400337374100 600506061150 1201012122300