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121301123203332 = 223331189799190891
BaseRepresentation
bin11011100101001010011110…
…010111000000000100000100
3120220111021101211122010111000
4123211022132113000010010
5111344344200020001312
61105552544450413300
734356500625012042
oct3345123627000404
9526437354563430
10121301123203332
1135717576809716
1211730b78891230
13528b85413a267
1421d5011877392
15e054c1e96adc
hex6e529e5c0104

121301123203332 has 96 divisors (see below), whose sum is σ = 324632462336000. Its totient is φ = 39128983437600.

The previous prime is 121301123203319. The next prime is 121301123203333. The reversal of 121301123203332 is 233302321103121.

121301123203332 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 1 + 1 + 2 + 320 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121301123203296 and 121301123203305.

It is not an unprimeable number, because it can be changed into a prime (121301123203333) 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 31 ways as a sum of consecutive naturals, for example, 635351607 + ... + 635542497.

Almost surely, 2121301123203332 is an apocalyptic number.

121301123203332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121301123203332 is an abundant number, since it is smaller than the sum of its proper divisors (203331339132668).

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

121301123203332 is a wasteful number, since it uses less digits than its factorization.

121301123203332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380734 (or 380726 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 121301123203332 its reverse (233302321103121), we get a palindrome (354603444306453).

The spelling of 121301123203332 in words is "one hundred twenty-one trillion, three hundred one billion, one hundred twenty-three million, two hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 189799 190891 379598 381782 569397 572673 759196 763564 1138794 1145346 1708191 1718019 2277588 2290692 3416382 3436038 5124573 5154057 5883769 5917621 6832764 6872076 10249146 10308114 11767538 11835242 17651307 17752863 20498292 20616228 23535076 23670484 35302614 35505726 52953921 53258589 70605228 71011452 105907842 106517178 158861763 159775767 211815684 213034356 317723526 319551534 635447052 639103068 36230920909 72461841818 108692762727 144923683636 217385525454 326078288181 434771050908 652156576362 978234864543 1123158548179 1304313152724 1956469729086 2246317096358 3369475644537 3912939458172 4492634192716 6738951289074 10108426933611 13477902578148 20216853867222 30325280800833 40433707734444 60650561601666 121301123203332