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12132992948140 = 2256148797121031
BaseRepresentation
bin1011000010001110111010…
…1111000001011110101100
31120221220101010202212102101
42300203232233001132230
53042241332143320030
641445453042304444
72361402606302131
oct260435657013654
946856333685371
1012132992948140
113958634238199
12143b556958124
136a01a0679c3c
142dd350776588
151609188d37ca
hexb08eebc17ac

12132992948140 has 96 divisors (see below), whose sum is σ = 25978115294208. Its totient is φ = 4758702048000.

The previous prime is 12132992948053. The next prime is 12132992948149. The reversal of 12132992948140 is 4184929923121.

It is a super-2 number, since 2×121329929481402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12132992948149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576899425 + ... + 576920455.

It is an arithmetic number, because the mean of its divisors is an integer number (270605367648).

Almost surely, 212132992948140 is an apocalyptic number.

12132992948140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132992948140 is an abundant number, since it is smaller than the sum of its proper divisors (13845122346068).

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

12132992948140 is a wasteful number, since it uses less digits than its factorization.

12132992948140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22559 (or 22557 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 55.

The spelling of 12132992948140 in words is "twelve trillion, one hundred thirty-two billion, nine hundred ninety-two million, nine hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 487 610 971 974 1220 1942 1948 2435 3884 4855 4870 9710 9740 19420 21031 29707 42062 59231 59414 84124 105155 118462 118828 148535 210310 236924 296155 297070 420620 472877 592310 594140 945754 1184620 1282891 1891508 2364385 2565782 4728770 5131564 6414455 9457540 10242097 12828910 20421101 20484194 25657820 28845497 40842202 40968388 51210485 57690994 81684404 102105505 102420970 115381988 144227485 204211010 204841940 288454970 408422020 576909940 624767917 1245687161 1249535834 2491374322 2499071668 3123839585 4982748644 6228435805 6247679170 9945076187 12456871610 12495358340 19890152374 24913743220 39780304748 49725380935 99450761870 198901523740 606649647407 1213299294814 2426598589628 3033248237035 6066496474070 12132992948140