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125211120112 = 241323149269653
BaseRepresentation
bin111010010011100101…
…0100001000111110000
3102222012011210221102001
41310213022201013300
54022413021320422
6133304324503344
712021563650261
oct1644712410760
9388164727361
10125211120112
114911345a861
1220324b4ab54
13ba659c48b0
1460bb482968
1533cc711227
hex1d272a11f0

125211120112 has 160 divisors (see below), whose sum is σ = 275888592000. Its totient is φ = 54618279936.

The previous prime is 125211120091. The next prime is 125211120131. The reversal of 125211120112 is 211021112521.

It is a self number, because there is not a number n which added to its sum of digits gives 125211120112.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 191747178 + ... + 191747830.

It is an arithmetic number, because the mean of its divisors is an integer number (1724303700).

Almost surely, 2125211120112 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 125211120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137944296000).

125211120112 is an abundant number, since it is smaller than the sum of its proper divisors (150677471888).

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

125211120112 is a wasteful number, since it uses less digits than its factorization.

125211120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 125211120112 its reverse (211021112521), we get a palindrome (336232232633).

The spelling of 125211120112 in words is "one hundred twenty-five billion, two hundred eleven million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 149 184 208 269 298 299 368 538 596 598 653 1076 1192 1196 1306 1937 2152 2384 2392 2612 3427 3497 3874 4304 4784 5224 6187 6854 6994 7748 8489 10448 12374 13708 13988 15019 15496 16978 24748 27416 27976 30038 30992 33956 40081 44551 49496 54832 55952 60076 67912 80162 80431 89102 97297 98992 120152 135824 160324 160862 175657 178204 194594 195247 240304 320648 321724 351314 356408 389188 390494 521053 641296 643448 702628 712816 778376 780988 921863 1042106 1264861 1286896 1405256 1556752 1561976 1843726 2084212 2237831 2283541 2529722 2810512 3123952 3687452 4040111 4168424 4475662 4567082 5059444 7374904 8080222 8336848 8951324 9134164 10118888 11984219 14749808 16160444 17902648 18268328 20237776 23968438 26172893 29091803 32320888 35805296 36536656 47936876 52345786 52521443 58183606 64641776 95873752 104691572 105042886 116367212 191747504 209383144 210085772 232734424 340247609 418766288 420171544 465468848 601976539 680495218 840343088 1203953078 1360990436 2407906156 2721980872 4815812312 5443961744 7825695007 9631624624 15651390014 31302780028 62605560056 125211120112