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1201330012320 = 2534592695217
BaseRepresentation
bin10001011110110100110…
…110010100000010100000
311020211211202100201220000
4101132310312110002200
5124140310440343240
62315514451220000
7152536035422664
oct21366466240240
94224752321800
101201330012320
11423532523029
121749aaba7600
1389392000449
144220501c8a4
15213b1858430
hex117b4d940a0

1201330012320 has 120 divisors (see below), whose sum is σ = 4239693880884. Its totient is φ = 320354666496.

The previous prime is 1201330012319. The next prime is 1201330012339. The reversal of 1201330012320 is 232100331021.

1201330012320 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 330 + 0 + 12 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1163524654224 + 37805358096 = 1078668^2 + 194436^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 1201330012293 and 1201330012302.

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 19 ways as a sum of consecutive naturals, for example, 46334649 + ... + 46360568.

Almost surely, 21201330012320 is an apocalyptic number.

1201330012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201330012320 is an abundant number, since it is smaller than the sum of its proper divisors (3038363868564).

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

1201330012320 is an equidigital number, since it uses as much as digits as its factorization.

1201330012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92695244 (or 92695227 counting only the distinct ones).

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

Adding to 1201330012320 its reverse (232100331021), we get a palindrome (1433430343341).

The spelling of 1201330012320 in words is "one trillion, two hundred one billion, three hundred thirty million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 92695217 185390434 278085651 370780868 463476085 556171302 741561736 834256953 926952170 1112342604 1390428255 1483123472 1668513906 1853904340 2224685208 2502770859 2780856510 2966246944 3337027812 3707808680 4171284765 4449370416 5005541718 5561713020 6674055624 7415617360 7508312577 8342569530 8898740832 10011083436 11123426040 12513854295 13348111248 14831234720 15016625154 16685139060 20022166872 22246852080 25027708590 26696222496 30033250308 33370278120 37541562885 40044333744 44493704160 50055417180 60066500616 66740556240 75083125770 80088667488 100110834360 120133001232 133481112480 150166251540 200221668720 240266002464 300332503080 400443337440 600665006160 1201330012320