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121221222120201 = 3723072686104769
BaseRepresentation
bin11011100100000000000011…
…111000100011101100001001
3120220012122011101122112220210
4123210000003320203230021
5111342042030330321301
61105452132145111333
734350641614011600
oct3344000370435411
9526178141575823
10121221222120201
11356966a4724315
121171959a028549
13528415c659c48
1421d11d1ccaa37
15e03397516ad6
hex6e4003e23b09

121221222120201 has 24 divisors (see below), whose sum is σ = 188629021368480. Its totient is φ = 69043636956672.

The previous prime is 121221222120179. The next prime is 121221222120203. The reversal of 121221222120201 is 102021222122121.

It is not a de Polignac number, because 121221222120201 - 27 = 121221222120073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (121221222120203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1343007256 + ... + 1343097513.

It is an arithmetic number, because the mean of its divisors is an integer number (7859542557020).

Almost surely, 2121221222120201 is an apocalyptic number.

It is an amenable number.

121221222120201 is a deficient number, since it is larger than the sum of its proper divisors (67407799248279).

121221222120201 is a wasteful number, since it uses less digits than its factorization.

121221222120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686105093 (or 2686105086 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 121221222120201 its reverse (102021222122121), we get a palindrome (223242444242322).

The spelling of 121221222120201 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 7 21 49 147 307 921 2149 6447 15043 45129 2686104769 8058314307 18802733383 56408200149 131619133681 394857401043 824634164083 2473902492249 5772439148581 17317317445743 40407074040067 121221222120201