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10121222000 = 245317297683
BaseRepresentation
bin10010110110100010…
…11001011101110000
3222010100212100110002
421123101121131300
5131212013101000
64352152525132
7505545652601
oct113321313560
928110770402
1010121222000
11432419098a
121b656b07a8
13c53b51676
146c02b9da8
153e38558d5
hex25b459770

10121222000 has 80 divisors (see below), whose sum is σ = 25912796832. Its totient is φ = 3810329600.

The previous prime is 10121221997. The next prime is 10121222011. The reversal of 10121222000 is 22212101.

It is a happy number.

10121222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114842 + ... + 182841.

Almost surely, 210121222000 is an apocalyptic number.

10121222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121222000 is an abundant number, since it is smaller than the sum of its proper divisors (15791574832).

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

10121222000 is a wasteful number, since it uses less digits than its factorization.

10121222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297723 (or 297707 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10121222000 its reverse (22212101), we get a palindrome (10143434101).

The spelling of 10121222000 in words is "ten billion, one hundred twenty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 297683 595366 1190732 1488415 2381464 2976830 4762928 5060611 5953660 7442075 10121222 11907320 14884150 20242444 23814640 25303055 29768300 37210375 40484888 50606110 59536600 74420750 80969776 101212220 119073200 126515275 148841500 202424440 253030550 297683000 404848880 506061100 595366000 632576375 1012122200 1265152750 2024244400 2530305500 5060611000 10121222000