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12020313000 = 2335310139671
BaseRepresentation
bin10110011000111011…
…10110101110101000
31011000201100011112210
423030131312232220
5144104200004000
65304433005120
7603605655213
oct131435665650
934021304483
1012020313000
115109176083
1223b56b37a0
131197427557
148205c877a
154a5434350
hex2cc776ba8

12020313000 has 128 divisors (see below), whose sum is σ = 37875651840. Its totient is φ = 3173600000.

The previous prime is 12020312999. The next prime is 12020313013. The reversal of 12020313000 is 31302021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 283165 + ... + 322835.

It is an arithmetic number, because the mean of its divisors is an integer number (295903530).

Almost surely, 212020313000 is an apocalyptic number.

12020313000 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 12020313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18937825920).

12020313000 is an abundant number, since it is smaller than the sum of its proper divisors (25855338840).

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

12020313000 is a wasteful number, since it uses less digits than its factorization.

12020313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39796 (or 39782 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12020313000 its reverse (31302021), we get a palindrome (12051615021).

The spelling of 12020313000 in words is "twelve billion, twenty million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 125 150 200 202 250 300 303 375 404 500 505 600 606 750 808 1000 1010 1212 1500 1515 2020 2424 2525 3000 3030 4040 5050 6060 7575 10100 12120 12625 15150 20200 25250 30300 37875 39671 50500 60600 75750 79342 101000 119013 151500 158684 198355 238026 303000 317368 396710 476052 595065 793420 952104 991775 1190130 1586840 1983550 2380260 2975325 3967100 4006771 4760520 4958875 5950650 7934200 8013542 9917750 11901300 12020313 14876625 16027084 19835500 20033855 23802600 24040626 29753250 32054168 39671000 40067710 48081252 59506500 60101565 80135420 96162504 100169275 119013000 120203130 160270840 200338550 240406260 300507825 400677100 480812520 500846375 601015650 801354200 1001692750 1202031300 1502539125 2003385500 2404062600 3005078250 4006771000 6010156500 12020313000