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120022122099969 = 3237424338494021
BaseRepresentation
bin11011010010100011010011…
…111100111111010100000001
3120201222000002001102011002100
4123102203103330333110001
5111212420301224144334
61103133222434141013
734165212034011345
oct3322432374772401
9521860061364070
10120022122099969
1135274106a56361
1211565111a21769
1351c806465c65b
14218d15d115625
15dd20b6851c99
hex6d28d3f3f501

120022122099969 has 24 divisors (see below), whose sum is σ = 178055052796712. Its totient is φ = 77850343434240.

The previous prime is 120022122099961. The next prime is 120022122099989. The reversal of 120022122099969 is 969990221220021.

120022122099969 is a `hidden beast` number, since 1 + 20 + 0 + 221 + 220 + 99 + 96 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84252296999025 + 35769825100944 = 9178905^2 + 5980788^2 .

It is not a de Polignac number, because 120022122099969 - 23 = 120022122099961 is a prime.

It is a super-2 number, since 2×1200221220999692 (a number of 29 digits) contains 22 as substring.

It is a Duffinian 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 23 ways as a sum of consecutive naturals, for example, 9883179 + ... + 18377199.

Almost surely, 2120022122099969 is an apocalyptic number.

It is an amenable number.

120022122099969 is a deficient number, since it is larger than the sum of its proper divisors (58032930696743).

120022122099969 is a wasteful number, since it uses less digits than its factorization.

120022122099969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536497 (or 8536494 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 120022122099969 in words is "one hundred twenty trillion, twenty-two billion, one hundred twenty-two million, ninety-nine thousand, nine hundred sixty-nine".

Divisors: 1 3 9 37 111 333 42433 127299 381897 1570021 4710063 8494021 14130189 25482063 76446189 314278777 942836331 2828508993 360426793093 1081280379279 3243841137837 13335791344441 40007374033323 120022122099969