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122314204124 = 227101271915907
BaseRepresentation
bin111000111101001111…
…1101010001111011100
3102200201021202100202022
41301322133222033130
54000444414012444
6132105041515312
711560026403130
oct1617237521734
9380637670668
10122314204124
11479671a7a12
121b856942b38
13b6c3793818
145cc48313c0
1532ad2309ee
hex1c7a7ea3dc

122314204124 has 48 divisors (see below), whose sum is σ = 247156869120. Its totient is φ = 51879009600.

The previous prime is 122314204123. The next prime is 122314204141. The reversal of 122314204124 is 421402413221.

It is a junction number, because it is equal to n+sod(n) for n = 122314204093 and 122314204102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122314204123) 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 15 ways as a sum of consecutive naturals, for example, 7681379 + ... + 7697285.

It is an arithmetic number, because the mean of its divisors is an integer number (5149101440).

Almost surely, 2122314204124 is an apocalyptic number.

122314204124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122314204124 is an abundant number, since it is smaller than the sum of its proper divisors (124842664996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122314204124 is a wasteful number, since it uses less digits than its factorization.

122314204124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18738 (or 18736 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 122314204124 its reverse (421402413221), we get a palindrome (543716617345).

The spelling of 122314204124 in words is "one hundred twenty-two billion, three hundred fourteen million, two hundred four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 101 202 404 707 1414 2719 2828 5438 10876 15907 19033 31814 38066 63628 76132 111349 222698 274619 445396 549238 1098476 1606607 1922333 3213214 3844666 6426428 7689332 11246249 22492498 43251133 44984996 86502266 173004532 302757931 605515862 1211031724 4368364433 8736728866 17473457732 30578551031 61157102062 122314204124