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12104412221040 = 2435401312567917
BaseRepresentation
bin1011000000100100011100…
…1100001100111001110000
31120212011121022002111110020
42300021013030030321300
53041304314012033130
641424405030203440
72356341422156136
oct260110714147160
946764538074406
1012104412221040
1139474a8156977
121435abb1b3580
1369a597350ab9
142dbbdca19756
1515ece46a9e10
hexb024730ce70

12104412221040 has 80 divisors (see below), whose sum is σ = 37533031401888. Its totient is φ = 3227038655488.

The previous prime is 12104412221003. The next prime is 12104412221071. The reversal of 12104412221040 is 4012221440121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12104412221040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5320839 + ... + 7247078.

Almost surely, 212104412221040 is an apocalyptic number.

12104412221040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12104412221040 is an abundant number, since it is smaller than the sum of its proper divisors (25428619180848).

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

12104412221040 is a wasteful number, since it uses less digits than its factorization.

12104412221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12571946 (or 12571940 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12104412221040 its reverse (4012221440121), we get a palindrome (16116633661161).

The spelling of 12104412221040 in words is "twelve trillion, one hundred four billion, four hundred twelve million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4013 8026 12039 16052 20065 24078 32104 40130 48156 60195 64208 80260 96312 120390 160520 192624 240780 321040 481560 963120 12567917 25135834 37703751 50271668 62839585 75407502 100543336 125679170 150815004 188518755 201086672 251358340 301630008 377037510 502716680 603260016 754075020 1005433360 1508150040 3016300080 50435050921 100870101842 151305152763 201740203684 252175254605 302610305526 403480407368 504350509210 605220611052 756525763815 806960814736 1008701018420 1210441222104 1513051527630 2017402036840 2420882444208 3026103055260 4034804073680 6052206110520 12104412221040