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12101020232312 = 23112149449186859
BaseRepresentation
bin1011000000010111110100…
…0000110010101001111000
31120211211211220110121200002
42300011331000302221320
53041230342134413222
641423044300132132
72356161363556154
oct260057500625170
946754756417602
1012101020232312
1139460174a2600
121435313237048
1369a1766a158b
142db99a336064
1515eb969d6392
hexb017d032a78

12101020232312 has 96 divisors (see below), whose sum is σ = 25163034750000. Its totient is φ = 5451350446080.

The previous prime is 12101020232311. The next prime is 12101020232447. The reversal of 12101020232312 is 21323202010121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101020232311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64666739 + ... + 64853597.

Almost surely, 212101020232312 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 12101020232312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12581517375000).

12101020232312 is an abundant number, since it is smaller than the sum of its proper divisors (13062014517688).

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

12101020232312 is a wasteful number, since it uses less digits than its factorization.

12101020232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187485 (or 187470 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12101020232312 its reverse (21323202010121), we get a palindrome (33424222242433).

The spelling of 12101020232312 in words is "twelve trillion, one hundred one billion, twenty million, two hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 149 242 298 449 484 596 898 968 1192 1639 1796 3278 3592 4939 6556 9878 13112 18029 19756 36058 39512 54329 66901 72116 108658 133802 144232 186859 217316 267604 373718 434632 535208 735911 747436 1471822 1494872 2055449 2943644 4110898 5887288 8095021 8221796 16190042 16443592 22609939 27841991 32380084 45219878 55683982 64760168 83899691 90439756 111367964 167799382 180879512 222735928 306261901 335598764 612523802 671197528 922896601 1225047604 1845793202 2450095208 3368880911 3691586404 6737761822 7383172808 10151862611 12501053959 13475523644 20303725222 25002107918 26951047288 40607450444 50004215836 81214900888 100008431672 137511593549 275023187098 550046374196 1100092748392 1512627529039 3025255058078 6050510116156 12101020232312