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12122401014 = 23219311143407
BaseRepresentation
bin10110100101000110…
…10010100011110110
31011021211102202222100
423102203102203312
5144311313313024
65322521042530
7606255465003
oct132243224366
934254382870
1012122401014
115160863339
122423926446
1311b261c569
1482dda08aa
154ae39c7c9
hex2d28d28f6

12122401014 has 48 divisors (see below), whose sum is σ = 28539463680. Its totient is φ = 3704635440.

The previous prime is 12122401013. The next prime is 12122401019. The reversal of 12122401014 is 41010422121.

12122401014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122401013) 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, 561102 + ... + 582305.

It is an arithmetic number, because the mean of its divisors is an integer number (594572160).

Almost surely, 212122401014 is an apocalyptic number.

12122401014 is an abundant number, since it is smaller than the sum of its proper divisors (16417062666).

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

12122401014 is a wasteful number, since it uses less digits than its factorization.

12122401014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143465 (or 1143462 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122401014 its reverse (41010422121), we get a palindrome (53132823135).

The spelling of 12122401014 in words is "twelve billion, one hundred twenty-two million, four hundred one thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 5301 10602 1143407 2286814 3430221 6860442 10290663 20581326 21724733 35445617 43449466 65174199 70891234 106336851 130348398 195522597 212673702 319010553 391045194 638021106 673466723 1346933446 2020400169 4040800338 6061200507 12122401014