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12321022000 = 245371751769
BaseRepresentation
bin10110111100110001…
…11110000000110000
31011210200011202202011
423132120332000300
5200213140201000
65354334132304
7614216646640
oct133630760060
934720152664
1012321022000
115252994211
12247a351094
131214812c81
1484c504520
154c1a332ba
hex2de63e030

12321022000 has 160 divisors (see below), whose sum is σ = 36051799680. Its totient is φ = 3975782400.

The previous prime is 12321021997. The next prime is 12321022001. The reversal of 12321022000 is 22012321.

It is not an unprimeable number, because it can be changed into a prime (12321022001) 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, 212116 + ... + 263884.

It is an arithmetic number, because the mean of its divisors is an integer number (225323748).

Almost surely, 212321022000 is an apocalyptic number.

12321022000 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 12321022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18025899840).

12321022000 is an abundant number, since it is smaller than the sum of its proper divisors (23730777680).

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

12321022000 is a wasteful number, since it uses less digits than its factorization.

12321022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51816 (or 51800 counting only the distinct ones).

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

Adding to 12321022000 its reverse (22012321), we get a palindrome (12343034321).

The spelling of 12321022000 in words is "twelve billion, three hundred twenty-one million, twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 125 136 140 170 175 200 238 250 272 280 340 350 400 425 476 500 560 595 680 700 850 875 952 1000 1190 1360 1400 1700 1750 1904 2000 2125 2380 2800 2975 3400 3500 4250 4760 5950 6800 7000 8500 9520 11900 14000 14875 17000 23800 29750 34000 47600 51769 59500 103538 119000 207076 238000 258845 362383 414152 517690 724766 828304 880073 1035380 1294225 1449532 1760146 1811915 2070760 2588450 2899064 3520292 3623830 4141520 4400365 5176900 5798128 6160511 6471125 7040584 7247660 8800730 9059575 10353800 12321022 12942250 14081168 14495320 17601460 18119150 20707600 22001825 24642044 25884500 28990640 30802555 35202920 36238300 44003650 45297875 49284088 51769000 61605110 70405840 72476600 88007300 90595750 98568176 103538000 110009125 123210220 144953200 154012775 176014600 181191500 220018250 246420440 308025550 352029200 362383000 440036500 492840880 616051100 724766000 770063875 880073000 1232102200 1540127750 1760146000 2464204400 3080255500 6160511000 12321022000