Search a number
-
+
1230222312120 = 233517738260961
BaseRepresentation
bin10001111001101110111…
…101101100001010111000
311100121102022022122020210
4101321232331230022320
5130123443402441440
62341053433351120
7154611025055124
oct21715675541270
94317368278223
101230222312120
1143480947254a
1217a512b684a0
138c017a49a29
14437862c2584
15220030c9a80
hex11e6ef6c2b8

1230222312120 has 128 divisors (see below), whose sum is σ = 3961296498240. Its totient is φ = 304532029440.

The previous prime is 1230222312101. The next prime is 1230222312139. The reversal of 1230222312120 is 212132220321.

It is an interprime number because it is at equal distance from previous prime (1230222312101) and next prime (1230222312139).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3981561 + ... + 4279400.

Almost surely, 21230222312120 is an apocalyptic number.

1230222312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230222312120 is an abundant number, since it is smaller than the sum of its proper divisors (2731074186120).

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

1230222312120 is a wasteful number, since it uses less digits than its factorization.

1230222312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261065 (or 8261061 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1230222312120 its reverse (212132220321), we get a palindrome (1442354532441).

The spelling of 1230222312120 in words is "one trillion, two hundred thirty billion, two hundred twenty-two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 73 85 102 120 136 146 170 204 219 255 292 340 365 408 438 510 584 680 730 876 1020 1095 1241 1460 1752 2040 2190 2482 2920 3723 4380 4964 6205 7446 8760 9928 12410 14892 18615 24820 29784 37230 49640 74460 148920 8260961 16521922 24782883 33043844 41304805 49565766 66087688 82609610 99131532 123914415 140436337 165219220 198263064 247828830 280872674 330438440 421309011 495657660 561745348 603050153 702181685 842618022 991315320 1123490696 1206100306 1404363370 1685236044 1809150459 2106545055 2412200612 2808726740 3015250765 3370472088 3618300918 4213090110 4824401224 5617453480 6030501530 7236601836 8426180220 9045752295 10251852601 12061003060 14473203672 16852360440 18091504590 20503705202 24122006120 30755557803 36183009180 41007410404 51259263005 61511115606 72366018360 82014820808 102518526010 123022231212 153777789015 205037052020 246044462424 307555578030 410074104040 615111156060 1230222312120