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1120002120 = 233351954581
BaseRepresentation
bin100001011000001…
…1110000001001000
32220001111000002000
41002300132001020
54243210031440
6303045311000
736516601206
oct10260360110
92801430060
101120002120
11525237196
12273105460
1314b065063
14a8a68076
15684d7730
hex42c1e048

1120002120 has 128 divisors (see below), whose sum is σ = 3929904000. Its totient is φ = 282942720.

The previous prime is 1120002119. The next prime is 1120002161. The reversal of 1120002120 is 212000211.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 6771 + ... + 47810.

It is an arithmetic number, because the mean of its divisors is an integer number (30702375).

Almost surely, 21120002120 is an apocalyptic number.

1120002120 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 1120002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964952000).

1120002120 is an abundant number, since it is smaller than the sum of its proper divisors (2809901880).

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

1120002120 is a wasteful number, since it uses less digits than its factorization.

1120002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54620 (or 54610 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1120002120 is about 33466.4327349062. The cubic root of 1120002120 is about 1038.4994756131.

Adding to 1120002120 its reverse (212000211), we get a palindrome (1332002331).

The spelling of 1120002120 in words is "one billion, one hundred twenty million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 54581 109162 163743 218324 272905 327486 436648 491229 545810 654972 818715 982458 1037039 1091620 1309944 1473687 1637430 1964916 2074078 2183240 2456145 2947374 3111117 3274860 3929832 4148156 4912290 5185195 5894748 6222234 6549720 7368435 8296312 9333351 9824580 10370390 11789496 12444468 14736870 15555585 18666702 19649160 20740780 24888936 28000053 29473740 31111170 37333404 41481560 46666755 56000106 58947480 62222340 74666808 93333510 112000212 124444680 140000265 186667020 224000424 280000530 373334040 560001060 1120002120