Search a number
-
+
12411210000123 = 3311379231147711
BaseRepresentation
bin1011010010011011010111…
…0000110110011011111011
31121221111111120020111001000
42310212311300312123323
53111321124230000443
642221344155300043
72420452232233434
oct264466560663373
947844446214030
1012411210000123
113a55623538210
12148546114a623
136c04ab60149c
1430c9c48b848b
15167c9da3a8d3
hexb49b5c366fb

12411210000123 has 64 divisors (see below), whose sum is σ = 20120570265600. Its totient is φ = 7498695204000.

The previous prime is 12411210000073. The next prime is 12411210000149. The reversal of 12411210000123 is 32100001211421.

It is a de Polignac number, because none of the positive numbers 2k-12411210000123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12411210000096 and 12411210000105.

It is not an unprimeable number, because it can be changed into a prime (12411210000173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260109238 + ... + 260156948.

It is an arithmetic number, because the mean of its divisors is an integer number (314383910400).

Almost surely, 212411210000123 is an apocalyptic number.

12411210000123 is a deficient number, since it is larger than the sum of its proper divisors (7709360265477).

12411210000123 is a wasteful number, since it uses less digits than its factorization.

12411210000123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50421 (or 50415 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12411210000123 its reverse (32100001211421), we get a palindrome (44511211211544).

The spelling of 12411210000123 in words is "twelve trillion, four hundred eleven billion, two hundred ten million, one hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 9 11 27 33 99 297 379 1137 2311 3411 4169 6933 10233 12507 20799 25421 37521 47711 62397 76263 112563 143133 228789 429399 524821 686367 875869 1288197 1574463 2627607 4723389 7882821 9634559 14170167 18082469 23648463 28903677 54247407 86711031 110260121 162742221 198907159 260133093 330780363 488226663 596721477 992341089 1212861331 1790164431 2977023267 3638583993 5370493293 10915751979 32747255937 41788585859 125365757577 376097272731 459674444449 1128291818193 1379023333347 4137070000041 12411210000123