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12127992 = 23323127173
BaseRepresentation
bin101110010000…
…111011111000
3211211011110220
4232100323320
511101043432
61111540040
7205041402
oct56207370
924734426
1012127992
116933a38
12408a620
132688336
141879b72
1510e872c
hexb90ef8

12127992 has 64 divisors (see below), whose sum is σ = 32071680. Its totient is φ = 3814272.

The previous prime is 12127991. The next prime is 12127993. The reversal of 12127992 is 29972121.

It is an interprime number because it is at equal distance from previous prime (12127991) and next prime (12127993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127991) 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 15 ways as a sum of consecutive naturals, for example, 70018 + ... + 70190.

It is an arithmetic number, because the mean of its divisors is an integer number (501120).

Almost surely, 212127992 is an apocalyptic number.

12127992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12127992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035840).

12127992 is an abundant number, since it is smaller than the sum of its proper divisors (19943688).

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

12127992 is a wasteful number, since it uses less digits than its factorization.

12127992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 12127992 is about 3482.5266689575. The cubic root of 12127992 is about 229.7539397505.

The spelling of 12127992 in words is "twelve million, one hundred twenty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 127 138 173 184 254 276 346 381 508 519 552 692 762 1016 1038 1384 1524 2076 2921 3048 3979 4152 5842 7958 8763 11684 11937 15916 17526 21971 23368 23874 31832 35052 43942 47748 65913 70104 87884 95496 131826 175768 263652 505333 527304 1010666 1515999 2021332 3031998 4042664 6063996 12127992