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123130001120 = 2557313546371
BaseRepresentation
bin111001010101100011…
…1101011011011100000
3102202211010211010211212
41302223013223123200
54004132240013440
6132322023125252
711616163512050
oct1625307533340
9382733733755
10123130001120
1148245748305
121ba43ba3828
13b7c37b7a39
145d60d0d560
153309b78465
hex1cab1eb6e0

123130001120 has 96 divisors (see below), whose sum is σ = 343175325696. Its totient is φ = 40854182400.

The previous prime is 123130001047. The next prime is 123130001147. The reversal of 123130001120 is 21100031321.

It is a super-2 number, since 2×1231300011202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 123130001095 and 123130001104.

It is a congruent number.

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, 1738466 + ... + 1807905.

It is an arithmetic number, because the mean of its divisors is an integer number (3574742976).

Almost surely, 2123130001120 is an apocalyptic number.

123130001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123130001120 is an abundant number, since it is smaller than the sum of its proper divisors (220045324576).

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

123130001120 is a wasteful number, since it uses less digits than its factorization.

123130001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546424 (or 3546416 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 123130001120 its reverse (21100031321), we get a palindrome (144230032441).

The spelling of 123130001120 in words is "one hundred twenty-three billion, one hundred thirty million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6944 8680 17360 34720 3546371 7092742 14185484 17731855 24824597 28370968 35463710 49649194 56741936 70927420 99298388 109937501 113483872 124122985 141854840 198596776 219875002 248245970 283709680 397193552 439750004 496491940 549687505 567419360 769562507 794387104 879500008 992983880 1099375010 1539125014 1759000016 1985967760 2198750020 3078250028 3518000032 3847812535 3971935520 4397500040 6156500056 7695625070 8795000080 12313000112 15391250140 17590000160 24626000224 30782500280 61565000560 123130001120