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12444512102000 = 245311565659641
BaseRepresentation
bin1011010100010111011010…
…1110010010011001110000
31122001200110110000112121122
42311011312232102121300
53112342330044231000
642244532511041412
72423041416360446
oct265056656223160
948050413015548
1012444512102000
113a68762721260
12148b9b5b10268
136c3687b33504
143104636c8b96
15168a9c4d0085
hexb5176b92670

12444512102000 has 80 divisors (see below), whose sum is σ = 32826360344544. Its totient is φ = 4525277120000.

The previous prime is 12444512101981. The next prime is 12444512102017. The reversal of 12444512102000 is 20121544421.

12444512102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 282807821 + ... + 282851820.

Almost surely, 212444512102000 is an apocalyptic number.

12444512102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444512102000 is an abundant number, since it is smaller than the sum of its proper divisors (20381848242544).

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

12444512102000 is a wasteful number, since it uses less digits than its factorization.

12444512102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565659675 (or 565659659 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 12444512102000 its reverse (20121544421), we get a palindrome (12464633646421).

The spelling of 12444512102000 in words is "twelve trillion, four hundred forty-four billion, five hundred twelve million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 565659641 1131319282 2262638564 2828298205 4525277128 5656596410 6222256051 9050554256 11313192820 12444512102 14141491025 22626385640 24889024204 28282982050 31111280255 45252771280 49778048408 56565964100 62222560510 70707455125 99556096816 113131928200 124445121020 141414910250 155556401275 226263856400 248890242040 282829820500 311112802550 497780484080 565659641000 622225605100 777782006375 1131319282000 1244451210200 1555564012750 2488902420400 3111128025500 6222256051000 12444512102000