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1332000224120 = 235176731194007
BaseRepresentation
bin10011011000100001011…
…001100111001101111000
311201100010101102021021002
4103120201121213031320
5133310414024132440
62455525031304132
7165143131044416
oct23304131471570
94640111367232
101332000224120
11473997446205
1219619821b048
13987b79b48b7
144867d50a2b6
15249ad458115
hex13621667378

1332000224120 has 128 divisors (see below), whose sum is σ = 3231047439360. Its totient is φ = 492380866560.

The previous prime is 1332000224111. The next prime is 1332000224123. The reversal of 1332000224120 is 214220002331.

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

It is a junction number, because it is equal to n+sod(n) for n = 1332000224092 and 1332000224101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332000224123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14122157 + ... + 14216163.

It is an arithmetic number, because the mean of its divisors is an integer number (25242558120).

Almost surely, 21332000224120 is an apocalyptic number.

1332000224120 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 1332000224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615523719680).

1332000224120 is an abundant number, since it is smaller than the sum of its proper divisors (1899047215240).

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

1332000224120 is a wasteful number, since it uses less digits than its factorization.

1332000224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94413 (or 94409 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1332000224120 its reverse (214220002331), we get a palindrome (1546220226451).

The spelling of 1332000224120 in words is "one trillion, three hundred thirty-two billion, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 268 311 335 340 536 622 670 680 1139 1244 1340 1555 2278 2488 2680 3110 4556 5287 5695 6220 9112 10574 11390 12440 20837 21148 22780 26435 41674 42296 45560 52870 83348 94007 104185 105740 166696 188014 208370 211480 354229 376028 416740 470035 708458 752056 833480 940070 1416916 1598119 1771145 1880140 2833832 3196238 3542290 3760280 6298469 6392476 7084580 7990595 12596938 12784952 14169160 15981190 25193876 29236177 31492345 31962380 50387752 58472354 62984690 63924760 107073973 116944708 125969380 146180885 214147946 233889416 251938760 292361770 428295892 497015009 535369865 584723540 856591784 994030018 1070739730 1169447080 1958823859 1988060036 2141479460 2485075045 3917647718 3976120072 4282958920 4970150090 7835295436 9794119295 9940300180 15670590872 19588238590 19880600360 33300005603 39176477180 66600011206 78352954360 133200022412 166500028015 266400044824 333000056030 666000112060 1332000224120