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12238607882000 = 245337165386593
BaseRepresentation
bin1011001000011000010111…
…1000000001011100010000
31121022222222121220101220102
42302012011320001130100
53101004132104211000
642010201105031532
72402132053363163
oct262060570013420
947288877811812
1012238607882000
1139994010a91a5
121457b110255a8
136aa132542346
143044cd40bada
1516354aa423d5
hexb2185e01710

12238607882000 has 80 divisors (see below), whose sum is σ = 30392763606192. Its totient is φ = 4763133849600.

The previous prime is 12238607881999. The next prime is 12238607882023. The reversal of 12238607882000 is 28870683221.

It can be written as a sum of positive squares in 8 ways, for example, as 5750461552144 + 6488146329856 = 2398012^2 + 2547184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82619297 + ... + 82767296.

Almost surely, 212238607882000 is an apocalyptic number.

12238607882000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12238607882000 is an abundant number, since it is smaller than the sum of its proper divisors (18154155724192).

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

12238607882000 is a wasteful number, since it uses less digits than its factorization.

12238607882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165386653 (or 165386637 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The spelling of 12238607882000 in words is "twelve trillion, two hundred thirty-eight billion, six hundred seven million, eight hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1850 2000 2960 3700 4625 7400 9250 14800 18500 37000 74000 165386593 330773186 661546372 826932965 1323092744 1653865930 2646185488 3307731860 4134664825 6119303941 6615463720 8269329650 12238607882 13230927440 16538659300 20673324125 24477215764 30596519705 33077318600 41346648250 48954431528 61193039410 66154637200 82693296500 97908863056 122386078820 152982598525 165386593000 244772157640 305965197050 330773186000 489544315280 611930394100 764912992625 1223860788200 1529825985250 2447721576400 3059651970500 6119303941000 12238607882000