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12142554120 = 2332533729317
BaseRepresentation
bin10110100111100000…
…01010110000001000
31011100020100122211200
423103300022300020
5144331443212440
65324521024200
7606622002264
oct132360126010
934306318750
1012142554120
1151711786a4
12242a625060
1311b6857588
148329290a4
154b102dc30
hex2d3c0ac08

12142554120 has 48 divisors (see below), whose sum is σ = 39463302060. Its totient is φ = 3238014336.

The previous prime is 12142554101. The next prime is 12142554131. The reversal of 12142554120 is 2145524121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11899755396 + 242798724 = 109086^2 + 15582^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16864299 + ... + 16865018.

Almost surely, 212142554120 is an apocalyptic number.

12142554120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142554120 is an abundant number, since it is smaller than the sum of its proper divisors (27320747940).

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

12142554120 is a wasteful number, since it uses less digits than its factorization.

12142554120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33729334 (or 33729327 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 12142554120 in words is "twelve billion, one hundred forty-two million, five hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33729317 67458634 101187951 134917268 168646585 202375902 269834536 303563853 337293170 404751804 505939755 607127706 674586340 809503608 1011879510 1214255412 1349172680 1517819265 2023759020 2428510824 3035638530 4047518040 6071277060 12142554120