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12413121324 = 2231915479901
BaseRepresentation
bin10111000111110000…
…10011001100101100
31012001002110220021020
423203320103030230
5200410224340244
65411424134140
7616415535042
oct134370231454
935032426236
1012413121324
11529a97985a
1224a5167350
13122a91b606
1485a83a392
154c9b76d19
hex2e3e1332c

12413121324 has 48 divisors (see below), whose sum is σ = 29171767296. Its totient is φ = 4108104000.

The previous prime is 12413121317. The next prime is 12413121389. The reversal of 12413121324 is 42312131421.

12413121324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12413121294 and 12413121303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248774 + ... + 1258674.

It is an arithmetic number, because the mean of its divisors is an integer number (607745152).

Almost surely, 212413121324 is an apocalyptic number.

It is an amenable number.

12413121324 is an abundant number, since it is smaller than the sum of its proper divisors (16758645972).

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

12413121324 is a wasteful number, since it uses less digits than its factorization.

12413121324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10646 (or 10644 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 12413121324 its reverse (42312131421), we get a palindrome (54725252745).

The spelling of 12413121324 in words is "twelve billion, four hundred thirteen million, one hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 191 382 547 573 764 1094 1146 1641 2188 2292 3282 6564 9901 19802 29703 39604 59406 104477 118812 208954 313431 417908 626862 1253724 1891091 3782182 5415847 5673273 7564364 10831694 11346546 16247541 21663388 22693092 32495082 64990164 1034426777 2068853554 3103280331 4137707108 6206560662 12413121324