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12369824712 = 2333710181001
BaseRepresentation
bin10111000010100110…
…01000101111001000
31011221002000012111000
423201103020233020
5200313133342322
65403240135000
7615351526620
oct134123105710
934832005430
1012369824712
115278497433
122492767460
13122196c40b
14854ba9880
154c5e733ac
hex2e14c8bc8

12369824712 has 128 divisors (see below), whose sum is σ = 39658579200. Its totient is φ = 3499200000.

The previous prime is 12369824689. The next prime is 12369824759. The reversal of 12369824712 is 21742896321.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112212 + ... + 193212.

It is an arithmetic number, because the mean of its divisors is an integer number (309832650).

Almost surely, 212369824712 is an apocalyptic number.

12369824712 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 12369824712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19829289600).

12369824712 is an abundant number, since it is smaller than the sum of its proper divisors (27288754488).

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

12369824712 is a wasteful number, since it uses less digits than its factorization.

12369824712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81124 (or 81114 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 12369824712 in words is "twelve billion, three hundred sixty-nine million, eight hundred twenty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 101 108 126 168 189 202 216 252 303 378 404 504 606 707 756 808 909 1212 1414 1512 1818 2121 2424 2727 2828 3636 4242 5454 5656 6363 7272 8484 10908 12726 16968 19089 21816 25452 38178 50904 76356 81001 152712 162002 243003 324004 486006 567007 648008 729009 972012 1134014 1458018 1701021 1944024 2187027 2268028 2916036 3402042 4374054 4536056 5103063 5832072 6804084 8181101 8748108 10206126 13608168 15309189 16362202 17496216 20412252 24543303 30618378 32724404 40824504 49086606 57267707 61236756 65448808 73629909 98173212 114535414 122473512 147259818 171803121 196346424 220889727 229070828 294519636 343606242 441779454 458141656 515409363 589039272 687212484 883558908 1030818726 1374424968 1546228089 1767117816 2061637452 3092456178 4123274904 6184912356 12369824712