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1134121103120 = 245412711275899
BaseRepresentation
bin10000100000001110111…
…000101010111100010000
311000102100211221101210202
4100200032320222330100
5122040140000244440
62225001423114332
7144636402214205
oct20401670527420
94012324841722
101134121103120
113a7a83883875
12163972a429a8
1382c40bb3b15
143cc6ad8bcac
151e77b2c2615
hex1080ee2af10

1134121103120 has 80 divisors (see below), whose sum is σ = 2711113977600. Its totient is φ = 440950348800.

The previous prime is 1134121103069. The next prime is 1134121103183. The reversal of 1134121103120 is 213011214311.

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 junction number, because it is equal to n+sod(n) for n = 1134121103092 and 1134121103101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250931 + ... + 1526829.

It is an arithmetic number, because the mean of its divisors is an integer number (33888924720).

Almost surely, 21134121103120 is an apocalyptic number.

1134121103120 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 1134121103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355556988800).

1134121103120 is an abundant number, since it is smaller than the sum of its proper divisors (1576992874480).

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

1134121103120 is a wasteful number, since it uses less digits than its factorization.

1134121103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276224 (or 1276218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1134121103120 its reverse (213011214311), we get a palindrome (1347132317431).

The spelling of 1134121103120 in words is "one trillion, one hundred thirty-four billion, one hundred twenty-one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 271 328 410 542 656 820 1084 1355 1640 2168 2710 3280 4336 5420 10840 11111 21680 22222 44444 55555 88888 111110 177776 222220 444440 888880 1275899 2551798 5103596 6379495 10207192 12758990 20414384 25517980 51035960 52311859 102071920 104623718 209247436 261559295 345768629 418494872 523118590 691537258 836989744 1046237180 1383074516 1728843145 2092474360 2766149032 3457686290 4184948720 5532298064 6915372580 13830745160 14176513789 27661490320 28353027578 56706055156 70882568945 113412110312 141765137890 226824220624 283530275780 567060551560 1134121103120