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12103221200 = 2452734712457
BaseRepresentation
bin10110100010110100…
…00111111111010000
31011020111100100012212
423101122013333100
5144241411034300
65320554011252
7605633453120
oct132132077720
934214310185
1012103221200
115150a53254
122419416b28
1311ab665565
1482b60ac80
154ac85e935
hex2d1687fd0

12103221200 has 120 divisors (see below), whose sum is σ = 33330432192. Its totient is φ = 4137384960.

The previous prime is 12103221167. The next prime is 12103221203. The reversal of 12103221200 is 212230121.

It is a happy number.

It is a super-2 number, since 2×121032212002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103221203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 965372 + ... + 977828.

Almost surely, 212103221200 is an apocalyptic number.

12103221200 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 12103221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665216096).

12103221200 is an abundant number, since it is smaller than the sum of its proper divisors (21227210992).

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

12103221200 is a wasteful number, since it uses less digits than its factorization.

12103221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12829 (or 12818 counting only the distinct ones).

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

Adding to 12103221200 its reverse (212230121), we get a palindrome (12315451321).

The spelling of 12103221200 in words is "twelve billion, one hundred three million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 347 350 400 560 694 700 1388 1400 1735 2429 2776 2800 3470 4858 5552 6940 8675 9716 12145 12457 13880 17350 19432 24290 24914 27760 34700 38864 48580 49828 60725 62285 69400 87199 97160 99656 121450 124570 138800 174398 194320 199312 242900 249140 311425 348796 435995 485800 498280 622850 697592 871990 971600 996560 1245700 1395184 1743980 2179975 2491400 3487960 4322579 4359950 4982800 6975920 8645158 8719900 17290316 17439800 21612895 30258053 34580632 34879600 43225790 60516106 69161264 86451580 108064475 121032212 151290265 172903160 216128950 242064424 302580530 345806320 432257900 484128848 605161060 756451325 864515800 1210322120 1512902650 1729031600 2420644240 3025805300 6051610600 12103221200