Search a number
-
+
12322020120 = 2335315715801
BaseRepresentation
bin10110111100111001…
…10001101100011000
31011210202001110220120
423132130301230120
5200213414120440
65354411353240
7614231304624
oct133634615430
934722043816
1012322020120
115253506103
12247a752820
131214aa2387
1484c6c4184
154c1b7ddd0
hex2de731b18

12322020120 has 128 divisors (see below), whose sum is σ = 38231930880. Its totient is φ = 3173760000.

The previous prime is 12322020043. The next prime is 12322020133. The reversal of 12322020120 is 2102022321.

It is a happy number.

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 12322020120.

It is a congruent number.

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, 2121220 + ... + 2127020.

It is an arithmetic number, because the mean of its divisors is an integer number (298686960).

Almost surely, 212322020120 is an apocalyptic number.

12322020120 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 12322020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19115965440).

12322020120 is an abundant number, since it is smaller than the sum of its proper divisors (25909910760).

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

12322020120 is a wasteful number, since it uses less digits than its factorization.

12322020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12322020120 its reverse (2102022321), we get a palindrome (14424042441).

The spelling of 12322020120 in words is "twelve billion, three hundred twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 571 620 744 930 1142 1240 1713 1860 2284 2855 3426 3720 4568 5710 5801 6852 8565 11420 11602 13704 17130 17403 17701 22840 23204 29005 34260 34806 35402 46408 53103 58010 68520 69612 70804 87015 88505 106206 116020 139224 141608 174030 177010 179831 212412 232040 265515 348060 354020 359662 424824 531030 539493 696120 708040 719324 899155 1062060 1078986 1438648 1798310 2124120 2157972 2697465 3312371 3596620 4315944 5394930 6624742 7193240 9937113 10789860 13249484 16561855 19874226 21579720 26498968 33123710 39748452 49685565 66247420 79496904 99371130 102683501 132494840 198742260 205367002 308050503 397484520 410734004 513417505 616101006 821468008 1026835010 1232202012 1540252515 2053670020 2464404024 3080505030 4107340040 6161010060 12322020120