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12301020 = 22325371847
BaseRepresentation
bin101110111011…
…001011011100
3212010221211100
4232323023130
511122113040
61115353100
7206362014
oct56731334
925127740
1012301020
116a41a36
124152790
132719014
1418c2c44
15112eb30
hexbbb2dc

12301020 has 72 divisors (see below), whose sum is σ = 38342304. Its totient is φ = 3189888.

The previous prime is 12301007. The next prime is 12301027. The reversal of 12301020 is 2010321.

Adding to 12301020 its reverse (2010321), we get a palindrome (14311341).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12300993 and 12301011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5737 + ... + 7583.

It is an arithmetic number, because the mean of its divisors is an integer number (532532).

Almost surely, 212301020 is an apocalyptic number.

12301020 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 12301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171152).

12301020 is an abundant number, since it is smaller than the sum of its proper divisors (26041284).

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

12301020 is a wasteful number, since it uses less digits than its factorization.

12301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12301020 is about 3507.2809981523. The cubic root of 12301020 is about 230.8414046045.

The spelling of 12301020 in words is "twelve million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 1847 2220 3330 3694 5541 6660 7388 9235 11082 16623 18470 22164 27705 33246 36940 55410 66492 68339 83115 110820 136678 166230 205017 273356 332460 341695 410034 615051 683390 820068 1025085 1230102 1366780 2050170 2460204 3075255 4100340 6150510 12301020