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121022211000200 = 23525311417189717
BaseRepresentation
bin11011100001000110101101…
…111001011000011110001000
3120212111121110222010011202112
4123201012231321120132020
5111330311442004001300
61105220500342121452
734330365131262626
oct3341065571303610
9525447428104675
10121022211000200
113561a260081314
12116a6ab9720288
13526b465183683
1421c57132a0516
15ded0eacc8e35
hex6e11ade58788

121022211000200 has 48 divisors (see below), whose sum is σ = 286685633818980. Its totient is φ = 47495509218560.

The previous prime is 121022211000191. The next prime is 121022211000203. The reversal of 121022211000200 is 2000112220121.

It can be written as a sum of positive squares in 6 ways, for example, as 33389883446404 + 87632327553796 = 5778398^2 + 9361214^2 .

It is not an unprimeable number, because it can be changed into a prime (121022211000203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5708584259 + ... + 5708605458.

Almost surely, 2121022211000200 is an apocalyptic number.

121022211000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121022211000200 is an abundant number, since it is smaller than the sum of its proper divisors (165663422818780).

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

121022211000200 is a wasteful number, since it uses less digits than its factorization.

121022211000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11417189786 (or 11417189777 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121022211000200 its reverse (2000112220121), we get a palindrome (123022323220321).

The spelling of 121022211000200 in words is "one hundred twenty-one trillion, twenty-two billion, two hundred eleven million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 11417189717 22834379434 45668758868 57085948585 91337517736 114171897170 228343794340 285429742925 456687588680 570859485850 605111055001 1141718971700 1210222110002 2283437943400 2420444220004 3025555275005 4840888440008 6051110550010 12102221100020 15127776375025 24204442200040 30255552750050 60511105500100 121022211000200