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12212103000096 = 2532173245104829
BaseRepresentation
bin1011000110110101101000…
…0011111011000000100000
31121020110120110021220012200
42301231122003323000200
53100040341332000341
641550055045253200
72400203203532046
oct261553203730040
947213513256180
1012212103000096
11398913a85811a
121452954704200
136a779a2c777c
143030d7250396
151629e8baddb6
hexb1b5a0fb020

12212103000096 has 72 divisors (see below), whose sum is σ = 34928908903980. Its totient is φ = 4047170919936.

The previous prime is 12212103000011. The next prime is 12212103000133. The reversal of 12212103000096 is 69000030121221.

It can be written as a sum of positive squares in 2 ways, for example, as 8256220676496 + 3955882323600 = 2873364^2 + 1988940^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122502591 + ... + 122602238.

Almost surely, 212212103000096 is an apocalyptic number.

12212103000096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12212103000096 is an abundant number, since it is smaller than the sum of its proper divisors (22716805903884).

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

12212103000096 is a wasteful number, since it uses less digits than its factorization.

12212103000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245105018 (or 245105007 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12212103000096 in words is "twelve trillion, two hundred twelve billion, one hundred three million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 12456 16608 24912 49824 245104829 490209658 735314487 980419316 1470628974 1960838632 2205943461 2941257948 3921677264 4411886922 5882515896 7843354528 8823773844 11765031792 17647547688 23530063584 35295095376 42403135417 70590190752 84806270834 127209406251 169612541668 254418812502 339225083336 381628218753 508837625004 678450166672 763256437506 1017675250008 1356900333344 1526512875012 2035350500016 3053025750024 4070701000032 6106051500048 12212103000096