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12122102221010 = 251771306483653
BaseRepresentation
bin1011000001100110010110…
…0110001100100011010010
31120220212021010221121101022
42300121211212030203102
53042102031132033020
641440452240235442
72360535664532105
oct260314546144322
946825233847338
1012122102221010
113953a55754761
12143941760bb82
1369c1562919c2
142dc9da1cc73c
151604cc72b625
hexb066598c8d2

12122102221010 has 16 divisors (see below), whose sum is σ = 23103300703896. Its totient is φ = 4563614953728.

The previous prime is 12122102220979. The next prime is 12122102221013. The reversal of 12122102221010 is 1012220122121.

It can be written as a sum of positive squares in 4 ways, for example, as 10294363161289 + 1827739059721 = 3208483^2 + 1351939^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12122102221010.

It is not an unprimeable number, because it can be changed into a prime (12122102221013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35653241657 + ... + 35653241996.

Almost surely, 212122102221010 is an apocalyptic number.

12122102221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122102221010 is a deficient number, since it is larger than the sum of its proper divisors (10981198482886).

12122102221010 is a wasteful number, since it uses less digits than its factorization.

12122102221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71306483677.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12122102221010 its reverse (1012220122121), we get a palindrome (13134322343131).

The spelling of 12122102221010 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 10 17 34 85 170 71306483653 142612967306 356532418265 713064836530 1212210222101 2424420444202 6061051110505 12122102221010