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12142344324121 = 1167105011568933
BaseRepresentation
bin1011000010110001110000…
…0111101100010000011001
31120222210111212000222122221
42300230130013230100121
53042420010121332441
641454041014544041
72362153416551014
oct260543407542031
946883455028587
1012142344324121
1139615a29033a0
121441326668021
136a1030b757cb
142dd99a6d637b
15160cb486b8d1
hexb0b1c1ec419

12142344324121 has 16 divisors (see below), whose sum is σ = 13445187012288. Its totient is φ = 10872698760000.

The previous prime is 12142344324101. The next prime is 12142344324191.

12142344324121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12142344324121 - 225 = 12142310769689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12142344324101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6954771 + ... + 8523703.

It is an arithmetic number, because the mean of its divisors is an integer number (840324188268).

Almost surely, 212142344324121 is an apocalyptic number.

12142344324121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12142344324121 is a deficient number, since it is larger than the sum of its proper divisors (1302842688167).

12142344324121 is a wasteful number, since it uses less digits than its factorization.

12142344324121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579512.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 1214234 and 4324121, that added together give a palindrome (5538355).

The spelling of 12142344324121 in words is "twelve trillion, one hundred forty-two billion, three hundred forty-four million, three hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 11 67 737 10501 115511 703567 1568933 7739237 17258263 105118511 1156303621 16475365433 181229019763 1103849484011 12142344324121