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121103323120 = 24513137384811
BaseRepresentation
bin111000011001001010…
…0100000111111110000
3102120120220021020021201
41300302110200333300
53441004422314440
6131344544300544
711515024155613
oct1606224407760
9376526236251
10121103323120
11473a573a10a
121b579311754
13b55c95c7a0
145c0baac17a
15323bc9619a
hex1c32520ff0

121103323120 has 80 divisors (see below), whose sum is σ = 303448515552. Its totient is φ = 44681978880.

The previous prime is 121103323087. The next prime is 121103323127. The reversal of 121103323120 is 21323301121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121103323127) by changing a digit.

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, 1385515 + ... + 1470325.

Almost surely, 2121103323120 is an apocalyptic number.

121103323120 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 121103323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151724257776).

121103323120 is an abundant number, since it is smaller than the sum of its proper divisors (182345192432).

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

121103323120 is a wasteful number, since it uses less digits than its factorization.

121103323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86210 (or 86204 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 121103323120 its reverse (21323301121), we get a palindrome (142426624241).

The spelling of 121103323120 in words is "one hundred twenty-one billion, one hundred three million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1373 2746 5492 6865 10984 13730 17849 21968 27460 35698 54920 71396 84811 89245 109840 142792 169622 178490 285584 339244 356980 424055 678488 713960 848110 1102543 1356976 1427920 1696220 2205086 3392440 4410172 5512715 6784880 8820344 11025430 17640688 22050860 44101720 88203440 116445503 232891006 465782012 582227515 931564024 1164455030 1513791539 1863128048 2328910060 3027583078 4657820120 6055166156 7568957695 9315640240 12110332312 15137915390 24220664624 30275830780 60551661560 121103323120