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12130776 = 2333771113
BaseRepresentation
bin101110010001…
…100111011000
3211211022022000
4232101213120
511101141101
61112001000
7205052460
oct56214730
924738260
1012130776
116936039
124090160
132689698
14187aba0
1510e9486
hexb919d8

12130776 has 128 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 3386880.

The previous prime is 12130771. The next prime is 12130849. The reversal of 12130776 is 67703121.

12130776 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

12130776 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107296 + ... + 107408.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 212130776 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 12130776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

12130776 is an abundant number, since it is smaller than the sum of its proper divisors (27267624).

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

12130776 is a wasteful number, since it uses less digits than its factorization.

12130776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 12130776 is about 3482.9263558106. The cubic root of 12130776 is about 229.7715185338.

Adding to 12130776 its reverse (67703121), we get a palindrome (79833897).

The spelling of 12130776 in words is "twelve million, one hundred thirty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 84 108 113 126 142 168 189 213 216 226 252 284 339 378 426 452 497 504 568 639 678 756 791 852 904 994 1017 1278 1356 1491 1512 1582 1704 1917 1988 2034 2373 2556 2712 2982 3051 3164 3834 3976 4068 4473 4746 5112 5964 6102 6328 7119 7668 8023 8136 8946 9492 11928 12204 13419 14238 15336 16046 17892 18984 21357 24069 24408 26838 28476 32092 35784 42714 48138 53676 56161 56952 64184 72207 85428 96276 107352 112322 144414 168483 170856 192552 216621 224644 288828 336966 433242 449288 505449 577656 673932 866484 1010898 1347864 1516347 1732968 2021796 3032694 4043592 6065388 12130776