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12200321120 = 2551311715009
BaseRepresentation
bin10110101110011001…
…00010000001100000
31011111021001112021012
423113030202001200
5144441240233440
65334343120052
7611223006221
oct132714420140
934437045235
1012200321120
1151a0843919
122445a43028
1311c5802030
1483a485248
154b613ee65
hex2d7322060

12200321120 has 96 divisors (see below), whose sum is σ = 31073142240. Its totient is φ = 4499988480.

The previous prime is 12200321101. The next prime is 12200321131. The reversal of 12200321120 is 2112300221.

It is a happy number.

It is a super-2 number, since 2×122003211202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12200321095 and 12200321104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2433176 + ... + 2438184.

It is an arithmetic number, because the mean of its divisors is an integer number (323678565).

Almost surely, 212200321120 is an apocalyptic number.

12200321120 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 12200321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15536571120).

12200321120 is an abundant number, since it is smaller than the sum of its proper divisors (18872821120).

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

12200321120 is a wasteful number, since it uses less digits than its factorization.

12200321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6208 (or 6200 counting only the distinct ones).

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

Adding to 12200321120 its reverse (2112300221), we get a palindrome (14312621341).

The spelling of 12200321120 in words is "twelve billion, two hundred million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1171 2080 2342 4684 5009 5855 9368 10018 11710 15223 18736 20036 23420 25045 30446 37472 40072 46840 50090 60892 65117 76115 80144 93680 100180 121784 130234 152230 160288 187360 200360 243568 260468 304460 325585 400720 487136 520936 608920 651170 801440 1041872 1217840 1302340 2083744 2435680 2604680 5209360 5865539 10418720 11731078 23462156 29327695 46924312 58655390 76252007 93848624 117310780 152504014 187697248 234621560 305008028 381260035 469243120 610016056 762520070 938486240 1220032112 1525040140 2440064224 3050080280 6100160560 12200321120