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121221222002001 = 34111273311068481
BaseRepresentation
bin11011100100000000000011…
…111000000110110101010001
3120220012122011101102112210000
4123210000003320012311101
5111342042030313031001
61105452132142400213
734350641613010152
oct3344000370066521
9526178141375700
10121221222002001
11356966a4653530
1211719599b90069
13528415c6181c4
1421d11d1c99929
15e033974e1a86
hex6e4003e06d51

121221222002001 has 40 divisors (see below), whose sum is σ = 197547431434848. Its totient is φ = 73466761536000.

The previous prime is 121221222001973. The next prime is 121221222002009. The reversal of 121221222002001 is 100200222122121.

It is a happy number.

121221222002001 is a `hidden beast` number, since 1 + 21 + 221 + 2 + 220 + 0 + 200 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-121221222002001 is a prime.

It is a super-2 number, since 2×1212212220020012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121221222002009) 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 39 ways as a sum of consecutive naturals, for example, 112917681 + ... + 113986161.

Almost surely, 2121221222002001 is an apocalyptic number.

121221222002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121221222002001 is a deficient number, since it is larger than the sum of its proper divisors (76326209432847).

121221222002001 is a wasteful number, since it uses less digits than its factorization.

121221222002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195835 (or 1195826 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121221222002001 its reverse (100200222122121), we get a palindrome (221421444124122).

The spelling of 121221222002001 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred twenty-two million, two thousand, one".

Divisors: 1 3 9 11 27 33 81 99 297 891 127331 381993 1068481 1145979 1400641 3205443 3437937 4201923 9616329 10313811 11753291 12605769 28848987 35259873 37817307 86546961 105779619 113451921 317338857 952016571 136050754211 408152262633 1224456787899 1496558296321 3673370363697 4489674888963 11020111091091 13469024666889 40407074000667 121221222002001