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12246581172 = 2237246145179
BaseRepresentation
bin10110110011111001…
…11111111110110100
31011121111002210010110
423121330333332310
5200040111044142
65343114423020
7612324136200
oct133174777664
934544083113
1012246581172
11521496a771
122459431a70
13120227b047
14842687b00
154ba22b99c
hex2d9f3ffb4

12246581172 has 72 divisors (see below), whose sum is σ = 33313563360. Its totient is φ = 3491355840.

The previous prime is 12246581167. The next prime is 12246581183. The reversal of 12246581172 is 27118564221.

It is a self number, because there is not a number n which added to its sum of digits gives 12246581172.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248479 + ... + 293657.

It is an arithmetic number, because the mean of its divisors is an integer number (462688380).

Almost surely, 212246581172 is an apocalyptic number.

12246581172 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 12246581172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656781680).

12246581172 is an abundant number, since it is smaller than the sum of its proper divisors (21066982188).

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

12246581172 is a wasteful number, since it uses less digits than its factorization.

12246581172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45661 (or 45652 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The spelling of 12246581172 in words is "twelve billion, two hundred forty-six million, five hundred eighty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 461 588 922 1383 1844 2766 3227 5532 6454 9681 12908 19362 22589 38724 45178 45179 67767 90356 90358 135534 135537 180716 271068 271074 316253 542148 632506 948759 1265012 1897518 2213771 3795036 4427542 6641313 8855084 13282626 20827519 26565252 41655038 62482557 83310076 124965114 145792633 249930228 291585266 437377899 583170532 874755798 1020548431 1749511596 2041096862 3061645293 4082193724 6123290586 12246581172