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12321221000 = 2353116911621
BaseRepresentation
bin10110111100110011…
…01110100110001000
31011210200112212201112
423132121232212020
5200213213033000
65354342305452
7614221436054
oct133631564610
934720485645
1012321221000
11525300a780
12247a428288
13121488271a
1484c556c64
154c1a72235
hex2de66e988

12321221000 has 128 divisors (see below), whose sum is σ = 31517665920. Its totient is φ = 4471200000.

The previous prime is 12321220997. The next prime is 12321221069. The reversal of 12321221000 is 12212321.

It is a happy 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, 7600190 + ... + 7601810.

It is an arithmetic number, because the mean of its divisors is an integer number (246231765).

Almost surely, 212321221000 is an apocalyptic number.

12321221000 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 12321221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15758832960).

12321221000 is an abundant number, since it is smaller than the sum of its proper divisors (19196444920).

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

12321221000 is a wasteful number, since it uses less digits than its factorization.

12321221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12321221000 its reverse (12212321), we get a palindrome (12333433321).

The spelling of 12321221000 in words is "twelve billion, three hundred twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 691 1000 1100 1375 1382 1621 2200 2750 2764 3242 3455 5500 5528 6484 6910 7601 8105 11000 12968 13820 15202 16210 17275 17831 27640 30404 32420 34550 35662 38005 40525 60808 64840 69100 71324 76010 81050 86375 89155 138200 142648 152020 162100 172750 178310 190025 202625 304040 324200 345500 356620 380050 405250 445775 691000 713240 760100 810500 891550 950125 1120111 1520200 1621000 1783100 1900250 2228875 2240222 3566200 3800500 4457750 4480444 5600555 7601000 8915500 8960888 11201110 12321221 17831000 22402220 24642442 28002775 44804440 49284884 56005550 61606105 98569768 112011100 123212210 140013875 224022200 246424420 280027750 308030525 492848840 560055500 616061050 1120111000 1232122100 1540152625 2464244200 3080305250 6160610500 12321221000