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120123112300 = 225247151169259
BaseRepresentation
bin110111111011111100…
…1010011101101101100
3102111001120211100211021
41233313321103231230
53432003004043200
6131103411103524
711451522415252
oct1576771235554
9374046740737
10120123112300
1146a42402224
121b344ba1ba4
13b434860a99
145b578325d2
1531d0bc341a
hex1bf7e53b6c

120123112300 has 72 divisors (see below), whose sum is σ = 267977848320. Its totient is φ = 46715208000.

The previous prime is 120123112283. The next prime is 120123112331. The reversal of 120123112300 is 3211321021.

It is a super-2 number, since 2×1201231123002 (a number of 23 digits) contains 22 as substring.

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, 625071 + ... + 794329.

It is an arithmetic number, because the mean of its divisors is an integer number (3721914560).

Almost surely, 2120123112300 is an apocalyptic number.

120123112300 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 120123112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133988924160).

120123112300 is an abundant number, since it is smaller than the sum of its proper divisors (147854736020).

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

120123112300 is a wasteful number, since it uses less digits than its factorization.

120123112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169471 (or 169464 counting only the distinct ones).

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

Adding to 120123112300 its reverse (3211321021), we get a palindrome (123334433321).

The spelling of 120123112300 in words is "one hundred twenty billion, one hundred twenty-three million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 151 188 235 302 470 604 755 940 1175 1510 2350 3020 3775 4700 7097 7550 14194 15100 28388 35485 70970 141940 169259 177425 338518 354850 677036 709700 846295 1692590 3385180 4231475 7955173 8462950 15910346 16925900 25558109 31820692 39775865 51116218 79551730 102232436 127790545 159103460 198879325 255581090 397758650 511162180 638952725 795517300 1201231123 1277905450 2402462246 2555810900 4804924492 6006155615 12012311230 24024622460 30030778075 60061556150 120123112300