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121011220001 = 71913121132917
BaseRepresentation
bin111000010110011010…
…1001010111000100001
3102120100110221220120002
41300230311022320201
53440312333020001
6131331454225345
711512525253450
oct1605465127041
9376313856502
10121011220001
1147358751731
121b5524b5255
13b5468524b9
145bdd774b97
153233b5146b
hex1c2cd4ae21

121011220001 has 32 divisors (see below), whose sum is σ = 147388369920. Its totient is φ = 97049534400.

The previous prime is 121011219983. The next prime is 121011220013. The reversal of 121011220001 is 100022110121.

It is not a de Polignac number, because 121011220001 - 234 = 103831350817 is a prime.

It is a super-2 number, since 2×1210112200012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121011220201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3659795 + ... + 3692711.

It is an arithmetic number, because the mean of its divisors is an integer number (4605886560).

Almost surely, 2121011220001 is an apocalyptic number.

It is an amenable number.

121011220001 is a deficient number, since it is larger than the sum of its proper divisors (26377149919).

121011220001 is a wasteful number, since it uses less digits than its factorization.

121011220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33285.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121011220001 its reverse (100022110121), we get a palindrome (221033330122).

The spelling of 121011220001 in words is "one hundred twenty-one billion, eleven million, two hundred twenty thousand, one".

Divisors: 1 7 19 131 133 211 917 1477 2489 4009 17423 27641 28063 32917 193487 230419 525179 625423 3676253 4312127 4377961 6945487 30184889 48618409 81930413 131964253 573512891 909858797 923749771 6369011579 17287317143 121011220001