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121133120240 = 24511605322741
BaseRepresentation
bin111000011010000011…
…0001011101011110000
3102120122222100002020202
41300310012023223300
53441040034321430
6131351531054332
711515535350646
oct1606406135360
9376588302222
10121133120240
1147410541130
121b5872a13a8
13b565b93312
145c11a27196
15323e6ced45
hex1c3418baf0

121133120240 has 80 divisors (see below), whose sum is σ = 307301911776. Its totient is φ = 44039193600.

The previous prime is 121133120219. The next prime is 121133120243. The reversal of 121133120240 is 42021331121.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121133120243) 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, 5315270 + ... + 5338010.

Almost surely, 2121133120240 is an apocalyptic number.

121133120240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121133120240 is an abundant number, since it is smaller than the sum of its proper divisors (186168791536).

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

121133120240 is a wasteful number, since it uses less digits than its factorization.

121133120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28818 (or 28812 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 121133120240 its reverse (42021331121), we get a palindrome (163154451361).

The spelling of 121133120240 in words is "one hundred twenty-one billion, one hundred thirty-three million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 6053 12106 22741 24212 30265 45482 48424 60530 66583 90964 96848 113705 121060 133166 181928 227410 242120 250151 266332 332915 363856 454820 484240 500302 532664 665830 909640 1000604 1065328 1250755 1331660 1819280 2001208 2501510 2663320 4002416 5003020 5326640 10006040 20012080 137651273 275302546 550605092 688256365 1101210184 1376512730 1514164003 2202420368 2753025460 3028328006 5506050920 6056656012 7570820015 11012101840 12113312024 15141640030 24226624048 30283280060 60566560120 121133120240