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121001003000 = 23536113714479
BaseRepresentation
bin111000010110000111…
…0001100011111111000
3102120022202201211110122
41300230032030133320
53440302224044000
6131330451232412
711512342361333
oct1605416143770
9376282654418
10121001003000
1147352a03529
121b54aba8708
13b5446b5c37
145bdc27561a
153232cd4085
hex1c2c38c7f8

121001003000 has 128 divisors (see below), whose sum is σ = 289904659200. Its totient is φ = 47256192000.

The previous prime is 121001002987. The next prime is 121001003077. The reversal of 121001003000 is 300100121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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, 8349761 + ... + 8364239.

It is an arithmetic number, because the mean of its divisors is an integer number (2264880150).

Almost surely, 2121001003000 is an apocalyptic number.

121001003000 is a gapful number since it is divisible by the number (10) 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 121001003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144952329600).

121001003000 is an abundant number, since it is smaller than the sum of its proper divisors (168903656200).

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

121001003000 is a wasteful number, since it uses less digits than its factorization.

121001003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14698 (or 14684 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 121001003000 its reverse (300100121), we get a palindrome (121301103121).

The spelling of 121001003000 in words is "one hundred twenty-one billion, one million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 137 200 244 250 274 305 488 500 548 610 685 1000 1096 1220 1370 1525 2440 2740 3050 3425 5480 6100 6850 7625 8357 12200 13700 14479 15250 16714 17125 27400 28958 30500 33428 34250 41785 57916 61000 66856 68500 72395 83570 115832 137000 144790 167140 208925 289580 334280 361975 417850 579160 723950 835700 883219 1044625 1447900 1671400 1766438 1809875 1983623 2089250 2895800 3532876 3619750 3967246 4178500 4416095 7065752 7239500 7934492 8357000 8832190 9918115 14479000 15868984 17664380 19836230 22080475 35328760 39672460 44160950 49590575 79344920 88321900 99181150 110402375 121001003 176643800 198362300 220804750 242002006 247952875 396724600 441609500 484004012 495905750 605005015 883219000 968008024 991811500 1210010030 1983623000 2420020060 3025025075 4840040120 6050050150 12100100300 15125125375 24200200600 30250250750 60500501500 121001003000