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12122976 = 253373413
BaseRepresentation
bin101110001111…
…101101100000
3211210220121010
4232033231200
511100413401
61111500520
7205020645
oct56175540
924726533
1012122976
116930198
124087740
132685c78
141877dcc
1510e6ed6
hexb8fb60

12122976 has 48 divisors (see below), whose sum is σ = 32692464. Its totient is φ = 3930624.

The previous prime is 12122941. The next prime is 12122977. The reversal of 12122976 is 67922121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122977) 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, 1846 + ... + 5258.

It is an arithmetic number, because the mean of its divisors is an integer number (681093).

Almost surely, 212122976 is an apocalyptic number.

12122976 is a gapful number since it is divisible by the number (16) 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 12122976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346232).

12122976 is an abundant number, since it is smaller than the sum of its proper divisors (20569488).

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

12122976 is a wasteful number, since it uses less digits than its factorization.

12122976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3455 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 12122976 is about 3481.8064277039. The cubic root of 12122976 is about 229.7222608411.

The spelling of 12122976 in words is "twelve million, one hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3413 3552 6826 10239 13652 20478 27304 40956 54608 81912 109216 126281 163824 252562 327648 378843 505124 757686 1010248 1515372 2020496 3030744 4040992 6061488 12122976