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12021113000 = 235313979533
BaseRepresentation
bin10110011001000001…
…11010000010101000
31011000202211210221102
423030200322002220
5144104401104000
65304502100532
7603615526451
oct131440720250
934022753842
1012021113000
115109672136
1223b5a1a748
131197647720
14820756128
154a55413d5
hex2cc83a0a8

12021113000 has 128 divisors (see below), whose sum is σ = 30608716320. Its totient is φ = 4392345600.

The previous prime is 12021112993. The next prime is 12021113023. The reversal of 12021113000 is 31112021.

It can be written as a sum of positive squares in 16 ways, for example, as 3999044644 + 8022068356 = 63238^2 + 89566^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1256234 + ... + 1265766.

Almost surely, 212021113000 is an apocalyptic number.

12021113000 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 12021113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304358160).

12021113000 is an abundant number, since it is smaller than the sum of its proper divisors (18587603320).

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

12021113000 is a wasteful number, since it uses less digits than its factorization.

12021113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9664 (or 9650 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12021113000 its reverse (31112021), we get a palindrome (12052225021).

The spelling of 12021113000 in words is "twelve billion, twenty-one million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 97 100 104 125 130 194 200 250 260 325 388 485 500 520 650 776 970 1000 1261 1300 1625 1940 2425 2522 2600 3250 3880 4850 5044 6305 6500 9533 9700 10088 12125 12610 13000 19066 19400 24250 25220 31525 38132 47665 48500 50440 63050 76264 95330 97000 123929 126100 157625 190660 238325 247858 252200 315250 381320 476650 495716 619645 630500 924701 953300 991432 1191625 1239290 1261000 1849402 1906600 2383250 2478580 3098225 3698804 4623505 4766500 4957160 6196450 7397608 9247010 9533000 12021113 12392900 15491125 18494020 23117525 24042226 24785800 30982250 36988040 46235050 48084452 60105565 61964500 92470100 96168904 115587625 120211130 123929000 184940200 231175250 240422260 300527825 462350500 480844520 601055650 924701000 1202111300 1502639125 2404222600 3005278250 6010556500 12021113000