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12209910900 = 223521131311821
BaseRepresentation
bin10110101111100010…
…00111010001110100
31011111221002201222020
423113301013101310
5200001214122100
65335324433140
7611400346605
oct132761072164
934457081866
1012209910900
1151a61a3860
1224490a87b0
1311c77abc65
1483b85ddac
154b6dd65a0
hex2d7c47474

12209910900 has 144 divisors (see below), whose sum is σ = 38665316928. Its totient is φ = 2950272000.

The previous prime is 12209910877. The next prime is 12209910949. The reversal of 12209910900 is 901990221.

It is a super-3 number, since 3×122099109003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026990 + ... + 1038810.

Almost surely, 212209910900 is an apocalyptic number.

12209910900 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 12209910900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19332658464).

12209910900 is an abundant number, since it is smaller than the sum of its proper divisors (26455406028).

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

12209910900 is a wasteful number, since it uses less digits than its factorization.

12209910900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12162 (or 12155 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The spelling of 12209910900 in words is "twelve billion, two hundred nine million, nine hundred ten thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 313 330 550 626 660 825 939 1100 1252 1565 1650 1878 3130 3300 3443 3756 4695 6260 6886 7825 9390 10329 11821 13772 15650 17215 18780 20658 23475 23642 31300 34430 35463 41316 46950 47284 51645 59105 68860 70926 86075 93900 103290 118210 130031 141852 172150 177315 206580 236420 258225 260062 295525 344300 354630 390093 516450 520124 591050 650155 709260 780186 886575 1032900 1182100 1300310 1560372 1773150 1950465 2600620 3250775 3546300 3699973 3900930 6501550 7399946 7801860 9752325 11099919 13003100 14799892 18499865 19504650 22199838 36999730 39009300 40699703 44399676 55499595 73999460 81399406 92499325 110999190 122099109 162798812 184998650 203498515 221998380 244198218 277497975 369997300 406997030 488396436 554995950 610495545 813994060 1017492575 1109991900 1220991090 2034985150 2441982180 3052477725 4069970300 6104955450 12209910900