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121299200 = 2852111723
BaseRepresentation
bin1110011101011…
…10000100000000
322110020122012222
413032232010000
5222023033300
620011510212
73002011661
oct716560400
9273218188
10121299200
1162519980
1234758368
131c190399
1412177368
15a9b0785
hex73ae100

121299200 has 108 divisors (see below), whose sum is σ = 327718608. Its totient is φ = 44083200.

The previous prime is 121299193. The next prime is 121299203. The reversal of 121299200 is 2992121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 121299200.

It is not an unprimeable number, because it can be changed into a prime (121299203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69539 + ... + 71261.

Almost surely, 2121299200 is an apocalyptic number.

121299200 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 121299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163859304).

121299200 is an abundant number, since it is smaller than the sum of its proper divisors (206419408).

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

121299200 is a wasteful number, since it uses less digits than its factorization.

121299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 121299200 is about 11013.5916031057. The cubic root of 121299200 is about 495.0160862711.

The spelling of 121299200 in words is "one hundred twenty-one million, two hundred ninety-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 550 640 704 800 880 1100 1280 1408 1600 1723 1760 2200 2816 3200 3446 3520 4400 6400 6892 7040 8615 8800 13784 14080 17230 17600 18953 27568 34460 35200 37906 43075 55136 68920 70400 75812 86150 94765 110272 137840 151624 172300 189530 220544 275680 303248 344600 379060 441088 473825 551360 606496 689200 758120 947650 1102720 1212992 1378400 1516240 1895300 2205440 2425984 2756800 3032480 3790600 4851968 5513600 6064960 7581200 11027200 12129920 15162400 24259840 30324800 60649600 121299200