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12111120016 = 2437186110993
BaseRepresentation
bin10110100011110000…
…10000011010010000
31011021001012122100121
423101320100122100
5144300421320031
65321435200024
7606060551542
oct132170203220
934231178317
1012111120016
1151554587a6
12241bba6014
1311b019c908
1482c6a5692
154ad3c0011
hex2d1e10690

12111120016 has 40 divisors (see below), whose sum is σ = 24114635384. Its totient is φ = 5888194560.

The previous prime is 12111120013. The next prime is 12111120017. The reversal of 12111120016 is 61002111121.

It can be written as a sum of positive squares in 4 ways, for example, as 46294416 + 12064825600 = 6804^2 + 109840^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12111120013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1096216 + ... + 1107208.

Almost surely, 212111120016 is an apocalyptic number.

12111120016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12111120016 is a deficient number, since it is larger than the sum of its proper divisors (12003515368).

12111120016 is a wasteful number, since it uses less digits than its factorization.

12111120016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12899 (or 12893 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12111120016 its reverse (61002111121), we get a palindrome (73113231137).

The spelling of 12111120016 in words is "twelve billion, one hundred eleven million, one hundred twenty thousand, sixteen".

Divisors: 1 2 4 8 16 37 74 148 296 592 1861 3722 7444 10993 14888 21986 29776 43972 68857 87944 137714 175888 275428 406741 550856 813482 1101712 1626964 3253928 6507856 20457973 40915946 81831892 163663784 327327568 756945001 1513890002 3027780004 6055560008 12111120016