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12122240331 = 319728329201
BaseRepresentation
bin10110100101000101…
…01011010101001011
31011021211010121120010
423102202223111023
5144311243142311
65322513403003
7606254225355
oct132242532513
934254117503
1012122240331
115160763643
122423869463
1311b2594396
1482dd5c0d5
154ae369da6
hex2d28ab54b

12122240331 has 16 divisors (see below), whose sum is σ = 17016589440. Its totient is φ = 7654838400.

The previous prime is 12122240267. The next prime is 12122240363. The reversal of 12122240331 is 13304222121.

12122240331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122240331 - 26 = 12122240267 is a prime.

It is a super-2 number, since 2×121222403312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122240298 and 12122240307.

It is not an unprimeable number, because it can be changed into a prime (12122240131) 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, 400531 + ... + 429731.

It is an arithmetic number, because the mean of its divisors is an integer number (1063536840).

Almost surely, 212122240331 is an apocalyptic number.

12122240331 is a deficient number, since it is larger than the sum of its proper divisors (4894349109).

12122240331 is a wasteful number, since it uses less digits than its factorization.

12122240331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36506.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12122240331 its reverse (13304222121), we get a palindrome (25426462452).

The spelling of 12122240331 in words is "twelve billion, one hundred twenty-two million, two hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 19 57 7283 21849 29201 87603 138377 415131 554819 1664457 212670883 638012649 4040746777 12122240331