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12375012 = 22313233449
BaseRepresentation
bin101111001101…
…001111100100
3212021201022210
4233031033210
511132000022
61121123420
7210120516
oct57151744
925251283
1012375012
116a92591
124189570
1327438c0
141901bb6
151146a0c
hexbcd3e4

12375012 has 48 divisors (see below), whose sum is σ = 32457600. Its totient is φ = 3641088.

The previous prime is 12374993. The next prime is 12375017. The reversal of 12375012 is 21057321.

It is a self number, because there is not a number n which added to its sum of digits gives 12375012.

It is not an unprimeable number, because it can be changed into a prime (12375017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1864 + ... + 5312.

It is an arithmetic number, because the mean of its divisors is an integer number (676200).

Almost surely, 212375012 is an apocalyptic number.

12375012 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 12375012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16228800).

12375012 is an abundant number, since it is smaller than the sum of its proper divisors (20082588).

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

12375012 is a wasteful number, since it uses less digits than its factorization.

12375012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 12375012 is about 3517.8135254729. The cubic root of 12375012 is about 231.3033252238.

The spelling of 12375012 in words is "twelve million, three hundred seventy-five thousand, twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3449 3588 6898 10347 13796 20694 41388 44837 79327 89674 134511 158654 179348 237981 269022 317308 475962 538044 951924 1031251 2062502 3093753 4125004 6187506 12375012