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1000121212220 = 2251379101482093
BaseRepresentation
bin11101000110110111101…
…11101001110100111100
310112121111011111122101112
432203123313221310330
5112341222012242340
62043241020301152
7132153636016304
oct16433367516474
93477434448345
101000121212220
11356170395489
121419b66a17b8
1373407428450
143659859a604
151b03720b065
hexe8dbde9d3c

1000121212220 has 96 divisors (see below), whose sum is σ = 2313125579520. Its totient is φ = 360990489600.

The previous prime is 1000121212193. The next prime is 1000121212229. The reversal of 1000121212220 is 222121210001.

It is a junction number, because it is equal to n+sod(n) for n = 1000121212195 and 1000121212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000121212229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1833494 + ... + 2315586.

It is an arithmetic number, because the mean of its divisors is an integer number (24095058120).

Almost surely, 21000121212220 is an apocalyptic number.

1000121212220 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 1000121212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156562789760).

1000121212220 is an abundant number, since it is smaller than the sum of its proper divisors (1313004367300).

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

1000121212220 is a wasteful number, since it uses less digits than its factorization.

1000121212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482295 (or 482293 counting only the distinct ones).

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

Adding to 1000121212220 its reverse (222121210001), we get a palindrome (1222242422221).

The spelling of 1000121212220 in words is "one trillion, one hundred twenty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 101 130 158 202 260 316 395 404 505 790 1010 1027 1313 1580 2020 2054 2626 4108 5135 5252 6565 7979 10270 13130 15958 20540 26260 31916 39895 79790 103727 159580 207454 414908 482093 518635 964186 1037270 1928372 2074540 2410465 4820930 6267209 9641860 12534418 25068836 31336045 38085347 48691393 62672090 76170694 97382786 125344180 152341388 190426735 194765572 243456965 380853470 486913930 495109511 632988109 761706940 973827860 990219022 1265976218 1980438044 2475547555 2531952436 3164940545 3846620047 4951095110 6329881090 7693240094 9902190220 12659762180 15386480188 19233100235 38466200470 50006060611 76932400940 100012121222 200024242444 250030303055 500060606110 1000121212220