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120044221000 = 235311390191
BaseRepresentation
bin110111111001100110…
…0010111001001001000
3102110212002101021022021
41233303030113021020
53431322310033000
6131051512134224
711446544020414
oct1576314271110
9373762337267
10120044221000
1146a01919000
121b322697374
13b4213cb242
145b4b177d44
1531c8cdd11a
hex1bf3317248

120044221000 has 128 divisors (see below), whose sum is σ = 308976145920. Its totient is φ = 43651960000.

The previous prime is 120044220983. The next prime is 120044221019. The reversal of 120044221000 is 122440021.

120044221000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1200442210002 (a number of 23 digits) contains 22 as substring.

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, 1285905 + ... + 1376095.

It is an arithmetic number, because the mean of its divisors is an integer number (2413876140).

Almost surely, 2120044221000 is an apocalyptic number.

120044221000 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 120044221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154488072960).

120044221000 is an abundant number, since it is smaller than the sum of its proper divisors (188931924920).

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

120044221000 is an equidigital number, since it uses as much as digits as its factorization.

120044221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90245 (or 90209 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 120044221000 its reverse (122440021), we get a palindrome (120166661021).

The spelling of 120044221000 in words is "one hundred twenty billion, forty-four million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1331 1375 2200 2420 2662 2750 3025 4840 5324 5500 6050 6655 10648 11000 12100 13310 15125 24200 26620 30250 33275 53240 60500 66550 90191 121000 133100 166375 180382 266200 332750 360764 450955 665500 721528 901910 992101 1331000 1803820 1984202 2254775 3607640 3968404 4509550 4960505 7936808 9019100 9921010 10913111 11273875 18038200 19842020 21826222 22547750 24802525 39684040 43652444 45095500 49605050 54565555 87304888 90191000 99210100 109131110 120044221 124012625 198420200 218262220 240088442 248025250 272827775 436524440 480176884 496050500 545655550 600221105 960353768 992101000 1091311100 1200442210 1364138875 2182622200 2400884420 2728277750 3001105525 4801768840 5456555500 6002211050 10913111000 12004422100 15005527625 24008844200 30011055250 60022110500 120044221000