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12010211121985 = 541439729347939
BaseRepresentation
bin1010111011000101100001…
…0111100001101101000001
31120112011110021002211211121
42232301120113201231001
53033233403021400420
641313225333512241
72346465141063316
oct256613027415501
946464407084747
1012010211121985
11391055808899a
12141b7ab4a2681
136917340597bb
142d7423bbad0d
1515c62e5d32aa
hexaec585e1b41

12010211121985 has 64 divisors (see below), whose sum is σ = 15315269840640. Its totient is φ = 9030322667520.

The previous prime is 12010211121983. The next prime is 12010211122031. The reversal of 12010211121985 is 58912111201021.

It is a happy number.

It is not a de Polignac number, because 12010211121985 - 21 = 12010211121983 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12010211121985.

It is not an unprimeable number, because it can be changed into a prime (12010211121983) 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, 250507146 + ... + 250555084.

It is an arithmetic number, because the mean of its divisors is an integer number (239301091260).

Almost surely, 212010211121985 is an apocalyptic number.

It is an amenable number.

12010211121985 is a deficient number, since it is larger than the sum of its proper divisors (3305058718655).

12010211121985 is a wasteful number, since it uses less digits than its factorization.

12010211121985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48418.

The product of its (nonzero) digits is 2880, while the sum is 34.

The spelling of 12010211121985 in words is "twelve trillion, ten billion, two hundred eleven million, one hundred twenty-one thousand, nine hundred eighty-five".

Divisors: 1 5 41 43 97 205 215 293 485 1465 1763 3977 4171 8815 12013 12599 19885 20855 28421 47939 60065 62995 142105 171011 239695 516559 855055 1165261 1222103 1965499 2061377 2582795 4650083 5826305 6110515 9827495 10306885 14046127 23250415 50106223 70230635 84516457 190653403 199953569 250531115 422582285 575891207 603983461 953267015 999767845 1362474319 2879456035 3019917305 6812371595 8198096329 24763321901 40990481645 55861447079 58586395717 123816609505 279307235395 292931978585 2402042224397 12010211121985