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122111022121 = 11271101140731
BaseRepresentation
bin111000110111001100…
…0100101010000101001
3102200012010102122102221
41301232120211100221
54000040410201441
6132032542554041
711552011363564
oct1615630452051
9380163378387
10122111022121
1147872541300
121b7ba898921
13b69066409a
145ca58614db
15329a4988d1
hex1c6e625429

122111022121 has 24 divisors (see below), whose sum is σ = 137460262464. Its totient is φ = 108362100000.

The previous prime is 122111022113. The next prime is 122111022169. The reversal of 122111022121 is 121220111221.

It is not a de Polignac number, because 122111022121 - 23 = 122111022113 is a prime.

It is a super-2 number, since 2×1221110221212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122111022095 and 122111022104.

It is not an unprimeable number, because it can be changed into a prime (122111022101) 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 23 ways as a sum of consecutive naturals, for example, 797326 + ... + 938056.

It is an arithmetic number, because the mean of its divisors is an integer number (5727510936).

Almost surely, 2122111022121 is an apocalyptic number.

122111022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111022121 is a deficient number, since it is larger than the sum of its proper divisors (15349240343).

122111022121 is a wasteful number, since it uses less digits than its factorization.

122111022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140925 (or 140914 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122111022121 its reverse (121220111221), we get a palindrome (243331133342).

The spelling of 122111022121 in words is "one hundred twenty-two billion, one hundred eleven million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 11 71 101 121 781 1111 7171 8591 12221 78881 140731 867691 1548041 9991901 14213831 17028451 109910911 156352141 1009182001 1209020021 1719873551 11101002011 122111022121