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12127197144 = 2331315696779
BaseRepresentation
bin10110100101101011…
…00101011111011000
31011022011110110000210
423102311211133120
5144314030302034
65323211531120
7606344321616
oct132265453730
934264413023
1012127197144
115163539787
122425459aa0
1311b360b5ca
1483088c6b6
154ae9e88e9
hex2d2d657d8

12127197144 has 64 divisors (see below), whose sum is σ = 30607632000. Its totient is φ = 4003900160.

The previous prime is 12127197139. The next prime is 12127197157. The reversal of 12127197144 is 44179172121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1785547 + ... + 1792325.

It is an arithmetic number, because the mean of its divisors is an integer number (478244250).

Almost surely, 212127197144 is an apocalyptic number.

It is an amenable number.

12127197144 is an abundant number, since it is smaller than the sum of its proper divisors (18480434856).

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

12127197144 is a wasteful number, since it uses less digits than its factorization.

12127197144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488 (or 7484 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The spelling of 12127197144 in words is "twelve billion, one hundred twenty-seven million, one hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 569 786 1048 1138 1572 1707 2276 3144 3414 4552 6779 6828 13558 13656 20337 27116 40674 54232 74539 81348 149078 162696 223617 298156 447234 596312 888049 894468 1776098 1788936 2664147 3552196 3857251 5328294 7104392 7714502 10656588 11571753 15429004 21313176 23143506 30858008 46287012 92574024 505299881 1010599762 1515899643 2021199524 3031799286 4042399048 6063598572 12127197144