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122002111211121 = 3414272969355507
BaseRepresentation
bin11011101111010111010100…
…100000000010011001110001
3120222222021202220020112010000
4123233113110200002121301
5111442340310432223441
61111250555100300213
734461235022531541
oct3357272440023161
9528867686215100
10122002111211121
1135967894210179
12118249b0241669
13530c9991a5a9b
14221ad10087321
15e1884cb622b6
hex6ef5d4802671

122002111211121 has 40 divisors (see below), whose sum is σ = 182439723422880. Its totient is φ = 81250139783232.

The previous prime is 122002111211117. The next prime is 122002111211209. The reversal of 122002111211121 is 121112111200221.

It is a happy number.

122002111211121 is a `hidden beast` number, since 1 + 220 + 0 + 2 + 111 + 211 + 121 = 666.

It is not a de Polignac number, because 122002111211121 - 22 = 122002111211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122002111211094 and 122002111211103.

It is not an unprimeable number, because it can be changed into a prime (122002111211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343000050 + ... + 343355556.

It is an arithmetic number, because the mean of its divisors is an integer number (4560993085572).

Almost surely, 2122002111211121 is an apocalyptic number.

It is an amenable number.

122002111211121 is a deficient number, since it is larger than the sum of its proper divisors (60437612211759).

122002111211121 is a wasteful number, since it uses less digits than its factorization.

122002111211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359915 (or 359906 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122002111211121 its reverse (121112111200221), we get a palindrome (243114222411342).

The spelling of 122002111211121 in words is "one hundred twenty-two trillion, two billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 1427 2969 4281 8907 12843 26721 38529 80163 115587 240489 355507 1066521 3199563 4236763 9598689 12710289 28796067 38130867 114392601 343177803 507308489 1055500283 1521925467 3166500849 4565776401 9499502547 13697329203 28498507641 41091987609 85495522923 1506198903841 4518596711523 13555790134569 40667370403707 122002111211121