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1123120020 = 2235111989563
BaseRepresentation
bin100001011110001…
…0111001110010100
32220021100102000210
41002330113032110
54300004320040
6303240205420
736555235251
oct10274271624
92807312023
101123120020
11526a76770
12274169870
1314b8b7279
14a923a428
1568901480
hex42f17394

1123120020 has 96 divisors (see below), whose sum is σ = 3611220480. Its totient is φ = 257938560.

The previous prime is 1123120007. The next prime is 1123120027. The reversal of 1123120020 is 200213211.

It is a super-2 number, since 2×11231200202 = 2522797158649600800, which contains 22 as substring.

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 = 1123119978 and 1123120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123120027) 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, 32242 + ... + 57321.

It is an arithmetic number, because the mean of its divisors is an integer number (37616880).

Almost surely, 21123120020 is an apocalyptic number.

1123120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123120020 is an abundant number, since it is smaller than the sum of its proper divisors (2488100460).

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

1123120020 is a wasteful number, since it uses less digits than its factorization.

1123120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89605 (or 89603 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1123120020 is about 33512.9828573942. The cubic root of 1123120020 is about 1039.4622528164.

Adding to 1123120020 its reverse (200213211), we get a palindrome (1323333231).

The spelling of 1123120020 in words is "one billion, one hundred twenty-three million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 89563 179126 268689 358252 447815 537378 895630 985193 1074756 1343445 1701697 1791260 1970386 2686890 2955579 3403394 3940772 4925965 5105091 5373780 5911158 6806788 8508485 9851930 10210182 11822316 14777895 17016970 18718667 19703860 20420364 25525455 29555790 34033940 37437334 51050910 56156001 59111580 74874668 93593335 102101820 112312002 187186670 224624004 280780005 374373340 561560010 1123120020