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12102221332200 = 2335220170368887
BaseRepresentation
bin1011000000011100010010…
…0110100111111011101000
31120211221221121112210222010
42300013010212213323220
53041240322130112300
641423403403555520
72356233220005126
oct260070446477350
946757847483863
1012102221332200
11394658348a73a
1214355a952bba0
1369a30848c57c
142dba71a70916
1515ec1718ca50
hexb01c49a7ee8

12102221332200 has 48 divisors (see below), whose sum is σ = 37516886131680. Its totient is φ = 3227259021760.

The previous prime is 12102221332193. The next prime is 12102221332207. The reversal of 12102221332200 is 223312220121.

It is an interprime number because it is at equal distance from previous prime (12102221332193) and next prime (12102221332207).

It is a super-2 number, since 2×121022213322002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12102221332207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10085183844 + ... + 10085185043.

It is an arithmetic number, because the mean of its divisors is an integer number (781601794410).

Almost surely, 212102221332200 is an apocalyptic number.

12102221332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102221332200 is an abundant number, since it is smaller than the sum of its proper divisors (25414664799480).

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

12102221332200 is a wasteful number, since it uses less digits than its factorization.

12102221332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20170368906 (or 20170368897 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12102221332200 its reverse (223312220121), we get a palindrome (12325533552321).

The spelling of 12102221332200 in words is "twelve trillion, one hundred two billion, two hundred twenty-one million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20170368887 40340737774 60511106661 80681475548 100851844435 121022213322 161362951096 201703688870 242044426644 302555533305 403407377740 484088853288 504259222175 605111066610 806814755480 1008518444350 1210222133220 1512777666525 2017036888700 2420444266440 3025555333050 4034073777400 6051110666100 12102221332200