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120022122099968 = 2811128333220181
BaseRepresentation
bin11011010010100011010011…
…111100111111010100000000
3120201222000002001102011002022
4123102203103330333110000
5111212420301224144333
61103133222434141012
734165212034011344
oct3322432374772400
9521860061364068
10120022122099968
1135274106a56360
1211565111a21768
1351c806465c65a
14218d15d115624
15dd20b6851c98
hex6d28d3f3f500

120022122099968 has 72 divisors (see below), whose sum is σ = 261558704334816. Its totient is φ = 54512986572800.

The previous prime is 120022122099961. The next prime is 120022122099989. The reversal of 120022122099968 is 869990221220021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120022122099961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12997163 + ... + 20223018.

It is an arithmetic number, because the mean of its divisors is an integer number (3632759782428).

Almost surely, 2120022122099968 is an apocalyptic number.

It is an amenable number.

120022122099968 is an abundant number, since it is smaller than the sum of its proper divisors (141536582234848).

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

120022122099968 is a wasteful number, since it uses less digits than its factorization.

120022122099968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33221491 (or 33221477 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 120022122099968 in words is "one hundred twenty trillion, twenty-two billion, one hundred twenty-two million, ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1283 1408 2566 2816 5132 10264 14113 20528 28226 41056 56452 82112 112904 164224 225808 328448 451616 903232 1806464 3612928 33220181 66440362 132880724 265761448 365421991 531522896 730843982 1063045792 1461687964 2126091584 2923375928 4252183168 5846751856 8504366336 11693503712 23387007424 42621492223 46774014848 85242984446 93548029696 170485968892 340971937784 468836414453 681943875568 937672828906 1363887751136 1875345657812 2727775502272 3750691315624 5455551004544 7501382631248 10911102009088 15002765262496 30005530524992 60011061049984 120022122099968