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121301012222032 = 241371492389155461
BaseRepresentation
bin11011100101001010010111…
…101111101001000001010000
3120220111021010002210200202111
4123211022113233221001100
5111344343433112101112
61105552525443555104
734356465106462306
oct3345122757510120
9526437102720674
10121301012222032
113571751a0a7835
1211730b4768ba94
13528b837150356
1421d5000c28276
15e054b73735a7
hex6e5297be9050

121301012222032 has 80 divisors (see below), whose sum is σ = 238426317306000. Its totient is φ = 59778305003520.

The previous prime is 121301012222009. The next prime is 121301012222077. The reversal of 121301012222032 is 230222210103121.

It can be written as a sum of positive squares in 8 ways, for example, as 160083210816 + 121140929011216 = 400104^2 + 11006404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121301012221994 and 121301012222012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780188782 + ... + 780344242.

It is an arithmetic number, because the mean of its divisors is an integer number (2980328966325).

Almost surely, 2121301012222032 is an apocalyptic number.

It is an amenable number.

121301012222032 is a deficient number, since it is larger than the sum of its proper divisors (117125305083968).

121301012222032 is a wasteful number, since it uses less digits than its factorization.

121301012222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158144 (or 158138 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 121301012222032 its reverse (230222210103121), we get a palindrome (351523222325153).

The spelling of 121301012222032 in words is "one hundred twenty-one trillion, three hundred one billion, twelve million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 137 149 274 298 548 596 1096 1192 2192 2384 2389 4778 9556 19112 20413 38224 40826 81652 155461 163304 310922 326608 327293 355961 621844 654586 711922 1243688 1309172 1423844 2487376 2618344 2847688 5236688 5695376 21298157 23163689 42596314 46327378 48766657 85192628 92654756 97533314 170385256 185309512 195066628 340770512 370619024 371396329 390133256 742792658 780266512 1485585316 2971170632 3173425393 5942341264 6346850786 12693701572 25387403144 50774806288 50881297073 55338053021 101762594146 110676106042 203525188292 221352212084 407050376584 442704424168 814100753168 885408848336 7581313263877 15162626527754 30325253055508 60650506111016 121301012222032