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12344011120 = 245760136677
BaseRepresentation
bin10110111111100001…
…01010100101110000
31011212021102201220001
423133300222211300
5200240031323440
65400514555344
7614616235420
oct133760524560
934767381801
1012344011120
115264966291
122485b98b54
131219501abc
148515aa480
154c3a74b9a
hex2dfc2a970

12344011120 has 80 divisors (see below), whose sum is σ = 32855272128. Its totient is φ = 4225075200.

The previous prime is 12344011111. The next prime is 12344011129. The reversal of 12344011120 is 2111044321.

It is an interprime number because it is at equal distance from previous prime (12344011111) and next prime (12344011129).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×123440111202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344011129) 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, 318222 + ... + 354898.

Almost surely, 212344011120 is an apocalyptic number.

12344011120 is a gapful number since it is divisible by the number (10) 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 12344011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427636064).

12344011120 is an abundant number, since it is smaller than the sum of its proper divisors (20511261008).

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

12344011120 is a wasteful number, since it uses less digits than its factorization.

12344011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37298 (or 37292 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12344011120 its reverse (2111044321), we get a palindrome (14455055441).

The spelling of 12344011120 in words is "twelve billion, three hundred forty-four million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 601 1202 2404 3005 4207 4808 6010 8414 9616 12020 16828 21035 24040 33656 36677 42070 48080 67312 73354 84140 146708 168280 183385 256739 293416 336560 366770 513478 586832 733540 1026956 1283695 1467080 2053912 2567390 2934160 4107824 5134780 10269560 20539120 22042877 44085754 88171508 110214385 154300139 176343016 220428770 308600278 352686032 440857540 617200556 771500695 881715080 1234401112 1543001390 1763430160 2468802224 3086002780 6172005560 12344011120