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12141012 = 22313223349
BaseRepresentation
bin101110010100…
…000111010100
3211211211100010
4232110013110
511102003022
61112120220
7205124352
oct56240724
924754303
1012141012
1169427a4
124096070
132691240
1418807d2
1510ec50c
hexb941d4

12141012 has 48 divisors (see below), whose sum is σ = 30732800. Its totient is φ = 3708288.

The previous prime is 12141011. The next prime is 12141037. The reversal of 12141012 is 21014121.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141011) 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 15 ways as a sum of consecutive naturals, for example, 34614 + ... + 34962.

Almost surely, 212141012 is an apocalyptic number.

12141012 is a gapful number since it is divisible by the number (12) 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 12141012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15366400).

12141012 is an abundant number, since it is smaller than the sum of its proper divisors (18591788).

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

12141012 is a wasteful number, since it uses less digits than its factorization.

12141012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 12141012 is about 3484.3954999397. The cubic root of 12141012 is about 229.8361277572.

Adding to 12141012 its reverse (21014121), we get a palindrome (33155133).

The spelling of 12141012 in words is "twelve million, one hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 223 349 446 669 698 892 1047 1338 1396 2094 2676 2899 4188 4537 5798 8697 9074 11596 13611 17394 18148 27222 34788 54444 77827 155654 233481 311308 466962 933924 1011751 2023502 3035253 4047004 6070506 12141012