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12101412044204 = 22723672089134257
BaseRepresentation
bin1011000000011001010001…
…0111011011110110101100
31120211212212012201201112122
42300012110113123312230
53041232142440403304
641423151214052112
72356204162115660
oct260062427336654
946755765651478
1012101412044204
1139461a868568a
1214354024aa038
1369a209906c32
142db9d63a88a0
1515ebbb0cd9be
hexb01945dbdac

12101412044204 has 96 divisors (see below), whose sum is σ = 25644523914240. Its totient is φ = 4884409423872.

The previous prime is 12101412044153. The next prime is 12101412044207. The reversal of 12101412044204 is 40244021410121.

12101412044204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12101412044207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90069044 + ... + 90203300.

It is an arithmetic number, because the mean of its divisors is an integer number (267130457440).

Almost surely, 212101412044204 is an apocalyptic number.

12101412044204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101412044204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12822261957120).

12101412044204 is an abundant number, since it is smaller than the sum of its proper divisors (13543111870036).

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

12101412044204 is a wasteful number, since it uses less digits than its factorization.

12101412044204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136447 (or 136445 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 12101412044204 its reverse (40244021410121), we get a palindrome (52345433454325).

The spelling of 12101412044204 in words is "twelve trillion, one hundred one billion, four hundred twelve million, forty-four thousand, two hundred four".

Divisors: 1 2 4 7 14 23 28 46 67 92 134 161 268 322 469 644 938 1541 1876 2089 3082 4178 6164 8356 10787 14623 21574 29246 43148 48047 58492 96094 134257 139963 192188 268514 279926 336329 537028 559852 672658 939799 979741 1345316 1879598 1959482 3087911 3219149 3759196 3918964 6175822 6438298 8995219 12351644 12876596 17990438 21615377 22534043 35980876 43230754 45068086 62966533 86461508 90136172 125933066 206890037 251866132 280462873 413780074 560925746 827560148 1121851492 1448230259 1963240111 2896460518 3926480222 5792921036 6450646079 7852960444 12901292158 18791012491 25802584316 37582024982 45154522553 75164049964 90309045106 131537087437 180618090212 263074174874 432193287293 526148349748 864386574586 1728773149172 3025353011051 6050706022102 12101412044204