Search a number
-
+
120100212121000 = 23533127713986283
BaseRepresentation
bin11011010011101100000010…
…011110110001110110101000
3120202020110122021120020111111
4123103230002132301312220
5111220210213300333000
61103233135322240104
734203645134152216
oct3323540236616650
9522213567506444
10120100212121000
11352a4239810a21
1211578286056034
13520252ab787a7
142192c4a349cb6
15dd41372e0cba
hex6d3b027b1da8

120100212121000 has 128 divisors (see below), whose sum is σ = 291147438965760. Its totient is φ = 46322565984000.

The previous prime is 120100212120991. The next prime is 120100212121033. The reversal of 120100212121000 is 121212001021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1593859 + ... + 15580141.

It is an arithmetic number, because the mean of its divisors is an integer number (2274589366920).

Almost surely, 2120100212121000 is an apocalyptic number.

120100212121000 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 120100212121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145573719482880).

120100212121000 is an abundant number, since it is smaller than the sum of its proper divisors (171047226844760).

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

120100212121000 is a wasteful number, since it uses less digits than its factorization.

120100212121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13986612 (or 13986598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120100212121000 its reverse (121212001021), we get a palindrome (120221424122021).

The spelling of 120100212121000 in words is "one hundred twenty trillion, one hundred billion, two hundred twelve million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 277 310 500 554 620 775 1000 1108 1240 1385 1550 2216 2770 3100 3875 5540 6200 6925 7750 8587 11080 13850 15500 17174 27700 31000 34348 34625 42935 55400 68696 69250 85870 138500 171740 214675 277000 343480 429350 858700 1073375 1717400 2146750 4293500 8587000 13986283 27972566 55945132 69931415 111890264 139862830 279725660 349657075 433574773 559451320 699314150 867149546 1398628300 1734299092 1748285375 2167873865 2797256600 3468598184 3496570750 3874200391 4335747730 6993141500 7748400782 8671495460 10839369325 13986283000 15496801564 17342990920 19371001955 21678738650 30993603128 38742003910 43357477300 54196846625 77484007820 86714954600 96855009775 108393693250 120100212121 154968015640 193710019550 216787386500 240200424242 387420039100 433574773000 480400848484 484275048875 600501060605 774840078200 960801696968 968550097750 1201002121210 1937100195500 2402004242420 3002505303025 3874200391000 4804008484840 6005010606050 12010021212100 15012526515125 24020042424200 30025053030250 60050106060500 120100212121000