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12031020 = 2232589751
BaseRepresentation
bin101101111001…
…010000101100
3211122020110100
4231321100230
511034443040
61105511100
7204155601
oct55712054
924566410
1012031020
1168780a1
124042490
132653161
1418526a8
1510c9b30
hexb7942c

12031020 has 72 divisors (see below), whose sum is σ = 36953280. Its totient is φ = 3168000.

The previous prime is 12031003. The next prime is 12031039. The reversal of 12031020 is 2013021.

It is a happy number.

12031020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 12030993 and 12031011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15645 + ... + 16395.

It is an arithmetic number, because the mean of its divisors is an integer number (513240).

Almost surely, 212031020 is an apocalyptic number.

12031020 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 12031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476640).

12031020 is an abundant number, since it is smaller than the sum of its proper divisors (24922260).

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

12031020 is a wasteful number, since it uses less digits than its factorization.

12031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 850 counting only the distinct ones).

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

The square root of 12031020 is about 3468.5760767208. The cubic root of 12031020 is about 229.1399511924.

Adding to 12031020 its reverse (2013021), we get a palindrome (14044041).

The spelling of 12031020 in words is "twelve million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 751 801 890 1068 1335 1502 1602 1780 2253 2670 3004 3204 3755 4005 4506 5340 6759 7510 8010 9012 11265 13518 15020 16020 22530 27036 33795 45060 66839 67590 133678 135180 200517 267356 334195 401034 601551 668390 802068 1002585 1203102 1336780 2005170 2406204 3007755 4010340 6015510 12031020