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12541211364 = 223111941121963
BaseRepresentation
bin10111010111000001…
…11011001011100100
31012101000111112202210
423223200323023210
5201141022230424
65432241403420
7622532352303
oct135340731344
935330445683
1012541211364
1153562067a0
122520039570
13124b318936
1486d86043a
154d6029729
hex2eb83b2e4

12541211364 has 96 divisors (see below), whose sum is σ = 34423119360. Its totient is φ = 3512505600.

The previous prime is 12541211351. The next prime is 12541211401. The reversal of 12541211364 is 46311214521.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41847 + ... + 163809.

It is an arithmetic number, because the mean of its divisors is an integer number (358574160).

Almost surely, 212541211364 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 12541211364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17211559680).

12541211364 is an abundant number, since it is smaller than the sum of its proper divisors (21881907996).

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

12541211364 is a wasteful number, since it uses less digits than its factorization.

12541211364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122041 (or 122039 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

Adding to 12541211364 its reverse (46311214521), we get a palindrome (58852425885).

The spelling of 12541211364 in words is "twelve billion, five hundred forty-one million, two hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 41 44 57 66 76 82 114 123 132 164 209 228 246 418 451 492 627 779 836 902 1254 1353 1558 1804 2337 2508 2706 3116 4674 5412 8569 9348 17138 25707 34276 51414 102828 121963 243926 365889 487852 731778 1341593 1463556 2317297 2683186 4024779 4634594 5000483 5366372 6951891 8049558 9269188 10000966 13903782 15001449 16099116 20001932 25490267 27807564 30002898 50980534 55005313 60005796 76470801 95009177 101961068 110010626 152941602 165015939 190018354 220021252 285027531 305883204 330031878 380036708 570055062 660063756 1045100947 1140110124 2090201894 3135302841 4180403788 6270605682 12541211364