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12002210111001 = 3117173137512207
BaseRepresentation
bin1010111010100111101101…
…1110000101111000011001
31120111101210122210101010110
42232221323132011320121
53033121011242023001
641305423400234533
72346062645442555
oct256517336057031
946441718711113
1012002210111001
11390812178aa20
12141a137a6ba49
13690a5a551486
142d6ca532c865
1515c311e883d6
hexaea7b785e19

12002210111001 has 64 divisors (see below), whose sum is σ = 18077188939776. Its totient is φ = 7021729612800.

The previous prime is 12002210110997. The next prime is 12002210111011. The reversal of 12002210111001 is 10011101220021.

It is not a de Polignac number, because 12002210111001 - 22 = 12002210110997 is a prime.

It is a super-2 number, since 2×120022101110012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12002210111011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23176240 + ... + 23688446.

It is an arithmetic number, because the mean of its divisors is an integer number (282456077184).

Almost surely, 212002210111001 is an apocalyptic number.

12002210111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002210111001 is a deficient number, since it is larger than the sum of its proper divisors (6074978828775).

12002210111001 is a wasteful number, since it uses less digits than its factorization.

12002210111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512502.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12002210111001 its reverse (10011101220021), we get a palindrome (22013311331022).

The spelling of 12002210111001 in words is "twelve trillion, two billion, two hundred ten million, one hundred eleven thousand, one".

Divisors: 1 3 11 33 71 73 137 213 219 411 781 803 1507 2343 2409 4521 5183 9727 10001 15549 29181 30003 57013 106997 110011 171039 320991 330033 512207 710071 1536621 2130213 5634277 7810781 16902831 23432343 36366697 37391111 70172359 109100091 112173333 210517077 400033667 411302221 771895949 1200101001 1233906663 2315687847 2654768881 4982237489 5122582207 7964306643 14946712467 15367746621 29202457691 54804612379 56348404277 87607373073 164413837137 169045212831 363703336697 1091110010091 4000736703667 12002210111001