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12231022000 = 245319536073
BaseRepresentation
bin10110110010000011…
…01001010110110000
31011120101211021221211
423121001221112300
5200022120201000
65341401125504
7612044654161
oct133101512660
934511737854
1012231022000
11520710294a
122454189894
1311cbc91032
14840597768
154b8ba67ba
hex2d90695b0

12231022000 has 160 divisors (see below), whose sum is σ = 31723773120. Its totient is φ = 4546713600.

The previous prime is 12231021931. The next prime is 12231022009. The reversal of 12231022000 is 22013221.

It is not an unprimeable number, because it can be changed into a prime (12231022009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010964 + ... + 2017036.

It is an arithmetic number, because the mean of its divisors is an integer number (198273582).

Almost surely, 212231022000 is an apocalyptic number.

12231022000 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 12231022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15861886560).

12231022000 is an abundant number, since it is smaller than the sum of its proper divisors (19492751120).

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

12231022000 is a wasteful number, since it uses less digits than its factorization.

12231022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12231022000 its reverse (22013221), we get a palindrome (12253035221).

The spelling of 12231022000 in words is "twelve billion, two hundred thirty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 53 76 80 95 100 106 125 152 190 200 212 250 265 304 380 400 424 475 500 530 760 848 950 1000 1007 1060 1325 1520 1900 2000 2014 2120 2375 2650 3800 4028 4240 4750 5035 5300 6073 6625 7600 8056 9500 10070 10600 12146 13250 16112 19000 20140 21200 24292 25175 26500 30365 38000 40280 48584 50350 53000 60730 80560 97168 100700 106000 115387 121460 125875 151825 201400 230774 242920 251750 303650 321869 402800 461548 485840 503500 576935 607300 643738 759125 923096 1007000 1153870 1214600 1287476 1518250 1609345 1846192 2014000 2307740 2429200 2574952 2884675 3036500 3218690 4615480 5149904 5769350 6073000 6115511 6437380 8046725 9230960 11538700 12146000 12231022 12874760 14423375 16093450 23077400 24462044 25749520 28846750 30577555 32186900 40233625 46154800 48924088 57693500 61155110 64373800 80467250 97848176 115387000 122310220 128747600 152887775 160934500 230774000 244620440 305775550 321869000 489240880 611551100 643738000 764438875 1223102200 1528877750 2446204400 3057755500 6115511000 12231022000