Search a number
-
+
12122022112110 = 233598773454541
BaseRepresentation
bin1011000001100110000011…
…0100100110101101101110
31120220212001120012122122000
42300121200310212231232
53042101400130041420
641440440255233130
72360534002603341
oct260314064465556
946825046178560
1012122022112110
113953a14509759
1214393b48187a6
1369c1427c3ba1
142dc9cd6d8458
151604c56a5690
hexb0660d26b6e

12122022112110 has 64 divisors (see below), whose sum is σ = 32325790685760. Its totient is φ = 3232499391360.

The previous prime is 12122022112087. The next prime is 12122022112127. The reversal of 12122022112110 is 1121122022121.

12122022112110 is a `hidden beast` number, since 1 + 21 + 220 + 2 + 211 + 211 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26441440 + ... + 26895980.

It is an arithmetic number, because the mean of its divisors is an integer number (505090479465).

Almost surely, 212122022112110 is an apocalyptic number.

12122022112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122022112110 is an abundant number, since it is smaller than the sum of its proper divisors (20203768573650).

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

12122022112110 is a wasteful number, since it uses less digits than its factorization.

12122022112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553330 (or 553324 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122022112110 its reverse (1121122022121), we get a palindrome (13243144134231).

The spelling of 12122022112110 in words is "twelve trillion, one hundred twenty-two billion, twenty-two million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 98773 197546 296319 454541 493865 592638 888957 909082 987730 1363623 1481595 1777914 2272705 2666871 2727246 2963190 4090869 4444785 4545410 5333742 6818115 8181738 8889570 12272607 13334355 13636230 20454345 24545214 26668710 40908690 61363035 122726070 44896378193 89792756386 134689134579 224481890965 269378269158 404067403737 448963781930 673445672895 808134807474 1212202211211 1346891345790 2020337018685 2424404422422 4040674037370 6061011056055 12122022112110