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12102420 = 22351121667
BaseRepresentation
bin101110001010…
…101100010100
3211202212101210
4232022230110
511044234140
61111221420
7204604011
oct56125424
924685353
1012102420
116916800
124077870
1326797c5
141870708
1510e0d80
hexb8ab14

12102420 has 72 divisors (see below), whose sum is σ = 37269792. Its totient is φ = 2932160.

The previous prime is 12102403. The next prime is 12102427. The reversal of 12102420 is 2420121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12102396 and 12102405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102427) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6427 + ... + 8093.

It is an arithmetic number, because the mean of its divisors is an integer number (517636).

Almost surely, 212102420 is an apocalyptic number.

12102420 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 12102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18634896).

12102420 is an abundant number, since it is smaller than the sum of its proper divisors (25167372).

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

12102420 is a wasteful number, since it uses less digits than its factorization.

12102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12102420 is about 3478.8532593370. The cubic root of 12102420 is about 229.5923465825.

Adding to 12102420 its reverse (2420121), we get a palindrome (14522541).

The spelling of 12102420 in words is "twelve million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1667 1815 2420 3334 3630 5001 6668 7260 8335 10002 16670 18337 20004 25005 33340 36674 50010 55011 73348 91685 100020 110022 183370 201707 220044 275055 366740 403414 550110 605121 806828 1008535 1100220 1210242 2017070 2420484 3025605 4034140 6051210 12102420