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1121130120 = 2335113112731
BaseRepresentation
bin100001011010011…
…0001011010001000
32220010121022101210
41002310301122020
54244002130440
6303125413120
736532306635
oct10264613210
92803538353
101121130120
11525937720
1227356a1a0
1314b36b606
14a8c7d18c
156865ba80
hex42d31688

1121130120 has 128 divisors (see below), whose sum is σ = 3682298880. Its totient is φ = 270816000.

The previous prime is 1121130113. The next prime is 1121130173. The reversal of 1121130120 is 210311211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1121130096 and 1121130105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409155 + ... + 411885.

It is an arithmetic number, because the mean of its divisors is an integer number (28767960).

Almost surely, 21121130120 is an apocalyptic number.

1121130120 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 1121130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841149440).

1121130120 is an abundant number, since it is smaller than the sum of its proper divisors (2561168760).

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

1121130120 is a wasteful number, since it uses less digits than its factorization.

1121130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1121130120 is about 33483.2812012204. The cubic root of 1121130120 is about 1038.8479970856.

Adding to 1121130120 its reverse (210311211), we get a palindrome (1331441331).

The spelling of 1121130120 in words is "one billion, one hundred twenty-one million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 311 330 440 622 660 933 1244 1320 1555 1866 2488 2731 3110 3421 3732 4665 5462 6220 6842 7464 8193 9330 10263 10924 12440 13655 13684 16386 17105 18660 20526 21848 27310 27368 30041 32772 34210 37320 40965 41052 51315 54620 60082 65544 68420 81930 82104 90123 102630 109240 120164 136840 150205 163860 180246 205260 240328 300410 327720 360492 410520 450615 600820 720984 849341 901230 1201640 1698682 1802460 2548023 3397364 3604920 4246705 5096046 6794728 8493410 9342751 10192092 12740115 16986820 18685502 20384184 25480230 28028253 33973640 37371004 46713755 50960460 56056506 74742008 93427510 101920920 112113012 140141265 186855020 224226024 280282530 373710040 560565060 1121130120