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12126605988 = 22371717094969
BaseRepresentation
bin10110100101100110…
…10101001010100100
31011022010100102010010
423102303111022210
5144313402342423
65323151130220
7606336310260
oct132263251244
934263312103
1012126605988
115163175622
122425213970
1311b3462503
148307770a0
154ae92d693
hex2d2cd52a4

12126605988 has 96 divisors (see below), whose sum is σ = 34266758400. Its totient is φ = 3258372096.

The previous prime is 12126605929. The next prime is 12126605993. The reversal of 12126605988 is 88950662121.

It is a super-2 number, since 2×121266059882 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2437968 + ... + 2442936.

It is an arithmetic number, because the mean of its divisors is an integer number (356945400).

Almost surely, 212126605988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12126605988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133379200).

12126605988 is an abundant number, since it is smaller than the sum of its proper divisors (22140152412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12126605988 is a wasteful number, since it uses less digits than its factorization.

12126605988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 12126605988 in words is "twelve billion, one hundred twenty-six million, six hundred five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 1709 3418 4969 5127 6836 9938 10254 11963 14907 19876 20508 23926 29053 29814 34783 35889 47852 58106 59628 69566 71778 84473 87159 104349 116212 139132 143556 168946 174318 203371 208698 253419 337892 348636 406742 417396 506838 591311 610113 813484 1013676 1182622 1220226 1773933 2365244 2440452 3547866 7095732 8492021 16984042 25476063 33968084 50952126 59444147 101904252 118888294 144364357 178332441 237776588 288728714 356664882 433093071 577457428 713329764 866186142 1010550499 1732372284 2021100998 3031651497 4042201996 6063302994 12126605988