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12114020 = 2251971449
BaseRepresentation
bin101110001101…
…100001100100
3211210110022102
4232031201210
511100122040
61111351232
7204652562
oct56154144
924713272
1012114020
116924496
124082518
132681b79
141874a32
1510e4515
hexb8d864

12114020 has 48 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 4515840.

The previous prime is 12114019. The next prime is 12114049. The reversal of 12114020 is 2041121.

It is a super-3 number, since 3×121140203 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12113992 and 12114010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26756 + ... + 27204.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 212114020 is an apocalyptic number.

12114020 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 12114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

12114020 is an abundant number, since it is smaller than the sum of its proper divisors (15101980).

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

12114020 is a wasteful number, since it uses less digits than its factorization.

12114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 12114020 is about 3480.5200760806. The cubic root of 12114020 is about 229.6656768412.

Adding to 12114020 its reverse (2041121), we get a palindrome (14155141).

It can be divided in two parts, 121 and 14020, that added together give a palindrome (14141).

The spelling of 12114020 in words is "twelve million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 71 76 95 142 190 284 355 380 449 710 898 1349 1420 1796 2245 2698 4490 5396 6745 8531 8980 13490 17062 26980 31879 34124 42655 63758 85310 127516 159395 170620 318790 605701 637580 1211402 2422804 3028505 6057010 12114020