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120123132100 = 22527160128151
BaseRepresentation
bin110111111011111100…
…1011000100011000100
3102111001120212100222121
41233313321120203010
53432003010211400
6131103411335324
711451522530056
oct1576771304304
9374046770877
10120123132100
1146a42416094
121b344bb1544
13b434869aba
145b578398d6
1531d0bc921a
hex1bf7e588c4

120123132100 has 72 divisors (see below), whose sum is σ = 264787802496. Its totient is φ = 47292000000.

The previous prime is 120123132097. The next prime is 120123132113. The reversal of 120123132100 is 1231321021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4253025 + ... + 4281175.

It is an arithmetic number, because the mean of its divisors is an integer number (3677608368).

Almost surely, 2120123132100 is an apocalyptic number.

120123132100 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 120123132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132393901248).

120123132100 is an abundant number, since it is smaller than the sum of its proper divisors (144664670396).

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

120123132100 is a wasteful number, since it uses less digits than its factorization.

120123132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28837 (or 28830 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120123132100 its reverse (1231321021), we get a palindrome (121354453121).

The spelling of 120123132100 in words is "one hundred twenty billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 601 710 1202 1420 1775 2404 3005 3550 6010 7100 12020 15025 28151 30050 42671 56302 60100 85342 112604 140755 170684 213355 281510 426710 563020 703775 853420 1066775 1407550 1998721 2133550 2815100 3997442 4267100 7994884 9993605 16918751 19987210 33837502 39974420 49968025 67675004 84593755 99936050 169187510 199872100 338375020 422968775 845937550 1201231321 1691875100 2402462642 4804925284 6006156605 12012313210 24024626420 30030783025 60061566050 120123132100