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12124442121 = 3112592112683
BaseRepresentation
bin10110100101010110…
…00100111000001001
31011021222021110211220
423102223010320021
5144312324121441
65323032512253
7606312025521
oct132253047011
934258243756
1012124442121
115161a27900
12242454b689
1311b2b8560c
14830372681
154ae652466
hex2d2ac4e09

12124442121 has 48 divisors (see below), whose sum is σ = 18162735360. Its totient is φ = 7186687200.

The previous prime is 12124442117. The next prime is 12124442131.

It is a happy number.

12124442121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12124442121 - 22 = 12124442117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12124442091 and 12124442100.

It is not an unprimeable number, because it can be changed into a prime (12124442131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4517646 + ... + 4520328.

It is an arithmetic number, because the mean of its divisors is an integer number (378390320).

Almost surely, 212124442121 is an apocalyptic number.

12124442121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12124442121 is a deficient number, since it is larger than the sum of its proper divisors (6038293239).

12124442121 is a wasteful number, since it uses less digits than its factorization.

12124442121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2967 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The spelling of 12124442121 in words is "twelve billion, one hundred twenty-four million, four hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 3 11 33 59 121 177 211 363 633 649 1947 2321 2683 6963 7139 8049 12449 21417 25531 29513 37347 76593 88539 136939 158297 324643 410817 474891 566113 973929 1506329 1698339 1741267 4518987 5223801 6227243 18681729 19153937 33400667 57461811 68499673 100202001 205499019 367407337 1102222011 4041480707 12124442121