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122342121 = 321119193337
BaseRepresentation
bin1110100101011…
…00101011101001
322112012121211200
413102230223221
5222304421441
620050114413
73013614366
oct722545351
9275177750
10122342121
11630714a0
1234b7ba09
131c466cb5
141236946d
15ab197b6
hex74acae9

122342121 has 48 divisors (see below), whose sum is σ = 204584640. Its totient is φ = 69672960.

The previous prime is 122342111. The next prime is 122342131. The reversal of 122342121 is 121243221.

It is a happy number.

122342121 is a `hidden beast` number, since 1 + 223 + 421 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (122342111) and next prime (122342131).

It is not a de Polignac number, because 122342121 - 27 = 122341993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122342094 and 122342103.

It is not an unprimeable number, because it can be changed into a prime (122342111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362865 + ... + 363201.

It is an arithmetic number, because the mean of its divisors is an integer number (4262180).

Almost surely, 2122342121 is an apocalyptic number.

122342121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122342121 is a deficient number, since it is larger than the sum of its proper divisors (82242519).

122342121 is a wasteful number, since it uses less digits than its factorization.

122342121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 563 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 122342121 is about 11060.8372648729. The cubic root of 122342121 is about 496.4307427668.

Adding to 122342121 its reverse (121243221), we get a palindrome (243585342).

It can be divided in two parts, 122 and 342121, that added together give a palindrome (342243).

The spelling of 122342121 in words is "one hundred twenty-two million, three hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 19 33 57 99 171 193 209 337 579 627 1011 1737 1881 2123 3033 3667 3707 6369 6403 11001 11121 19107 19209 33003 33363 40337 57627 65041 70433 121011 195123 211299 363033 585369 633897 715451 1235779 2146353 3707337 6439059 11122011 13593569 40780707 122342121