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12123877536 = 253242096797
BaseRepresentation
bin10110100101010001…
…11011000010100000
31011021221012210101100
423102220323002200
5144312203040121
65323012434400
7606304154511
oct132250730240
934257183340
1012123877536
115161681701
122424318a00
1311b2a18644
14830266a08
154ae590026
hex2d2a3b0a0

12123877536 has 36 divisors (see below), whose sum is σ = 34477277562. Its totient is φ = 4041292416.

The previous prime is 12123877531. The next prime is 12123877567. The reversal of 12123877536 is 63577832121.

12123877536 is a `hidden beast` number, since 1 + 2 + 12 + 38 + 77 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11885360400 + 238517136 = 109020^2 + 15444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12123877491 and 12123877500.

It is not an unprimeable number, because it can be changed into a prime (12123877531) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21048111 + ... + 21048686.

Almost surely, 212123877536 is an apocalyptic number.

12123877536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12123877536 is an abundant number, since it is smaller than the sum of its proper divisors (22353400026).

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

12123877536 is a wasteful number, since it uses less digits than its factorization.

12123877536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42096813 (or 42096802 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 12123877536 in words is "twelve billion, one hundred twenty-three million, eight hundred seventy-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42096797 84193594 126290391 168387188 252580782 336774376 378871173 505161564 673548752 757742346 1010323128 1347097504 1515484692 2020646256 3030969384 4041292512 6061938768 12123877536