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12561372 = 22331071087
BaseRepresentation
bin101111111010…
…101111011100
3212122011222000
4233322233130
511203430442
61125122300
7211525035
oct57725734
925564860
1012561372
1170aa5aa
124259390
1327aa685
14194da8c
151181d4c
hexbfabdc

12561372 has 48 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 4144176.

The previous prime is 12561359. The next prime is 12561383. The reversal of 12561372 is 27316521.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11013 + ... + 12099.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 212561372 is an apocalyptic number.

12561372 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 12561372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

12561372 is an abundant number, since it is smaller than the sum of its proper divisors (20339748).

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

12561372 is a wasteful number, since it uses less digits than its factorization.

12561372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1199 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 12561372 is about 3544.2025901463. The cubic root of 12561372 is about 232.4586398852.

Adding to 12561372 its reverse (27316521), we get a palindrome (39877893).

It can be divided in two parts, 1256 and 1372, that added together give a triangular number (2628 = T72).

The spelling of 12561372 in words is "twelve million, five hundred sixty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1087 1284 1926 2174 2889 3261 3852 4348 5778 6522 9783 11556 13044 19566 29349 39132 58698 116309 117396 232618 348927 465236 697854 1046781 1395708 2093562 3140343 4187124 6280686 12561372