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12300134121 = 331128345361
BaseRepresentation
bin10110111010010010…
…10010011011101001
31011202012212112222000
423131021102123221
5200142313242441
65352310321213
7613544262222
oct133511223351
934665775860
1012300134121
115242117900
122473359209
1312103ab692
14849828249
154beca92b6
hex2dd2526e9

12300134121 has 48 divisors (see below), whose sum is σ = 20271370560. Its totient is φ = 7364649600.

The previous prime is 12300134087. The next prime is 12300134191. The reversal of 12300134121 is 12143100321.

12300134121 is a `hidden beast` number, since 1 + 2 + 300 + 1 + 341 + 21 = 666.

It is not a de Polignac number, because 12300134121 - 26 = 12300134057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12300134094 and 12300134103.

It is not an unprimeable number, because it can be changed into a prime (12300134191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248481 + ... + 293841.

It is an arithmetic number, because the mean of its divisors is an integer number (422320220).

Almost surely, 212300134121 is an apocalyptic number.

12300134121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12300134121 is a deficient number, since it is larger than the sum of its proper divisors (7971236439).

12300134121 is a wasteful number, since it uses less digits than its factorization.

12300134121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45475 (or 45458 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12300134121 its reverse (12143100321), we get a palindrome (24443234442).

The spelling of 12300134121 in words is "twelve billion, three hundred million, one hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 83 99 121 249 297 363 747 913 1089 2241 2739 3267 8217 10043 24651 30129 45361 90387 136083 271161 408249 498971 1224747 1496913 3764963 4490739 5488681 11294889 13472217 16466043 33884667 41414593 49398129 101654001 124243779 148194387 372731337 455560523 1118194011 1366681569 4100044707 12300134121