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12141012504 = 2334330738321
BaseRepresentation
bin10110100111010100…
…10010011000011000
31011100010110100010210
423103222102120120
5144331044400004
65324424011120
7606602621625
oct132352223030
934303410123
1012141012504
115170315435
12242a000aa0
1311b643798a
1483264734c
154b0d27089
hex2d3a92618

12141012504 has 64 divisors (see below), whose sum is σ = 31160384640. Its totient is φ = 3939909120.

The previous prime is 12141012463. The next prime is 12141012509. The reversal of 12141012504 is 40521014121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141012509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297664 + ... + 335984.

It is an arithmetic number, because the mean of its divisors is an integer number (486881010).

Almost surely, 212141012504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12141012504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15580192320).

12141012504 is an abundant number, since it is smaller than the sum of its proper divisors (19019372136).

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

12141012504 is a wasteful number, since it uses less digits than its factorization.

12141012504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38680 (or 38676 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 12141012504 its reverse (40521014121), we get a palindrome (52662026625).

The spelling of 12141012504 in words is "twelve billion, one hundred forty-one million, twelve thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 307 344 516 614 921 1032 1228 1842 2456 3684 7368 13201 26402 38321 39603 52804 76642 79206 105608 114963 153284 158412 229926 306568 316824 459852 919704 1647803 3295606 4943409 6591212 9886818 11764547 13182424 19773636 23529094 35293641 39547272 47058188 70587282 94116376 141174564 282349128 505875521 1011751042 1517626563 2023502084 3035253126 4047004168 6070506252 12141012504