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1201321330020 = 2232571815267567
BaseRepresentation
bin10001011110110100010…
…101001100010101100100
311020211211011000122000100
4101132310111030111210
5124140301230030040
62315513541144100
7152535601552110
oct21366425142544
94224734018010
101201321330020
11423528632979
121749a80bb030
13893902805a6
1442203bdc740
15213b0be0b30
hex117b454c564

1201321330020 has 144 divisors (see below), whose sum is σ = 4187590138368. Its totient is φ = 273070621440.

The previous prime is 1201321329983. The next prime is 1201321330061. The reversal of 1201321330020 is 200331231021.

1201321330020 is a `hidden beast` number, since 1 + 20 + 1 + 321 + 3 + 300 + 20 = 666.

It is a super-2 number, since 2×12013213300202 (a number of 25 digits) contains 22 as substring.

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 = 1201321329975 and 1201321330002.

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 47 ways as a sum of consecutive naturals, for example, 2405724 + ... + 2861843.

It is an arithmetic number, because the mean of its divisors is an integer number (29080487072).

Almost surely, 21201321330020 is an apocalyptic number.

1201321330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201321330020 is an abundant number, since it is smaller than the sum of its proper divisors (2986268808348).

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

1201321330020 is a wasteful number, since it uses less digits than its factorization.

1201321330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267770 (or 5267765 counting only the distinct ones).

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

Adding to 1201321330020 its reverse (200331231021), we get a palindrome (1401652561041).

The spelling of 1201321330020 in words is "one trillion, two hundred one billion, three hundred twenty-one million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 181 210 252 315 362 420 543 630 724 905 1086 1260 1267 1629 1810 2172 2534 2715 3258 3620 3801 5068 5430 6335 6516 7602 8145 10860 11403 12670 15204 16290 19005 22806 25340 32580 38010 45612 57015 76020 114030 228060 5267567 10535134 15802701 21070268 26337835 31605402 36872969 47408103 52675670 63210804 73745938 79013505 94816206 105351340 110618907 147491876 158027010 184364845 189632412 221237814 237040515 316054020 331856721 368729690 442475628 474081030 553094535 663713442 737459380 948162060 953429627 1106189070 1327426884 1659283605 1906859254 2212378140 2860288881 3318567210 3813718508 4767148135 5720577762 6637134420 6674007389 8580866643 9534296270 11441155524 13348014778 14301444405 17161733286 19068592540 20022022167 26696029556 28602888810 33370036945 34323466572 40044044334 42904333215 57205777620 60066066501 66740073890 80088088668 85808666430 100110110835 120132133002 133480147780 171617332860 200220221670 240264266004 300330332505 400440443340 600660665010 1201321330020