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122121101110001 = 7291678214387681
BaseRepresentation
bin11011110001000110001000…
…110110011110101011110001
3121000101122220111201200100212
4123301012020312132223301
5112001313003341010001
61111421354230553505
734502646505142660
oct3361061066365361
9530348814650325
10122121101110001
1135a032a4982384
1211843a79808895
13531ac80027386
14222299b1b2dd7
15e1b9b40dd7bb
hex6f1188d9eaf1

122121101110001 has 32 divisors (see below), whose sum is σ = 145421120033280. Its totient is φ = 100338168268800.

The previous prime is 122121101109941. The next prime is 122121101110003. The reversal of 122121101110001 is 100011101121221.

It is not a de Polignac number, because 122121101110001 - 214 = 122121101093617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122121101110003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25638881 + ... + 30026561.

It is an arithmetic number, because the mean of its divisors is an integer number (4544410001040).

Almost surely, 2122121101110001 is an apocalyptic number.

It is an amenable number.

122121101110001 is a deficient number, since it is larger than the sum of its proper divisors (23300018923279).

122121101110001 is a wasteful number, since it uses less digits than its factorization.

122121101110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388705.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 122121101110001 its reverse (100011101121221), we get a palindrome (222132202231222).

The spelling of 122121101110001 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred one million, one hundred ten thousand, one".

Divisors: 1 7 29 167 203 821 1169 4843 5747 23809 33901 137107 166663 959749 3976103 4387681 27832721 30713767 127242749 732742727 890699243 3602286101 5129199089 21249539083 25216002707 104466296929 148746773581 601581778867 731264078503 4211072452069 17445871587143 122121101110001