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122112021121 = 2954115674967
BaseRepresentation
bin111000110111001110…
…0011001001010000001
3102200012012022101210221
41301232130121022001
54000041134133441
6132033020223041
711552023024246
oct1615634311201
9380165271727
10122112021121
1147873063922
121b7bb09aa81
13b6909239cc
145ca5a415cd
15329a5e48d1
hex1c6e719281

122112021121 has 16 divisors (see below), whose sum is σ = 126662538240. Its totient is φ = 117584550720.

The previous prime is 122112021089. The next prime is 122112021127. The reversal of 122112021121 is 121120211221.

It is not a de Polignac number, because 122112021121 - 25 = 122112021089 is a prime.

It is a super-2 number, since 2×1221120211212 (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 = 122112021095 and 122112021104.

It is not an unprimeable number, because it can be changed into a prime (122112021127) 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 15 ways as a sum of consecutive naturals, for example, 24582180 + ... + 24587146.

It is an arithmetic number, because the mean of its divisors is an integer number (7916408640).

Almost surely, 2122112021121 is an apocalyptic number.

It is an amenable number.

122112021121 is a deficient number, since it is larger than the sum of its proper divisors (4550517119).

122112021121 is a wasteful number, since it uses less digits than its factorization.

122112021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104.

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

Adding to 122112021121 its reverse (121120211221), we get a palindrome (243232232342).

It can be divided in two parts, 1 and 22112021121, that added together give a palindrome (22112021122).

The spelling of 122112021121 in words is "one hundred twenty-two billion, one hundred twelve million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 29 541 1567 4967 15689 45443 144043 847747 2687147 7783289 24584663 77927263 225715381 4210759349 122112021121