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12444432121 = 112979748947
BaseRepresentation
bin10111001011011111…
…01111011011111001
31012010021101122121101
423211233233123321
5200441233311441
65414503211401
7620245633132
oct134557573371
935107348541
1012444432121
115306615050
1224b3746b61
131234262104
14860a6ac89
154cc7ae231
hex2e5bef6f9

12444432121 has 16 divisors (see below), whose sum is σ = 14061781440. Its totient is φ = 10909084480.

The previous prime is 12444432073. The next prime is 12444432137. The reversal of 12444432121 is 12123444421.

It is a cyclic number.

It is not a de Polignac number, because 12444432121 - 223 = 12436043513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12444432121.

It is not an unprimeable number, because it can be changed into a prime (12444432181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229770 + ... + 278716.

It is an arithmetic number, because the mean of its divisors is an integer number (878861340).

Almost surely, 212444432121 is an apocalyptic number.

12444432121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12444432121 is a deficient number, since it is larger than the sum of its proper divisors (1617349319).

12444432121 is a wasteful number, since it uses less digits than its factorization.

12444432121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49784.

The product of its digits is 6144, while the sum is 28.

Adding to 12444432121 its reverse (12123444421), we get a palindrome (24567876542).

The spelling of 12444432121 in words is "twelve billion, four hundred forty-four million, four hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 29 319 797 8767 23113 48947 254243 538417 1419463 15614093 39010759 429118349 1131312011 12444432121