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121020221000 = 2353741394177
BaseRepresentation
bin111000010110101011…
…1100000011001001000
3102120101002220012121102
41300231113200121020
53440322134033000
6131332415200532
711512664622440
oct1605527403110
9376332805542
10121020221000
114736283a278
121b555516148
13b548684433
145c00a39120
15323482d3d5
hex1c2d5e0648

121020221000 has 128 divisors (see below), whose sum is σ = 323798342400. Its totient is φ = 41472691200.

The previous prime is 121020220999. The next prime is 121020221009. The reversal of 121020221000 is 122020121.

It is a happy number.

121020221000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (121020221009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28970912 + ... + 28975088.

It is an arithmetic number, because the mean of its divisors is an integer number (2529674550).

Almost surely, 2121020221000 is an apocalyptic number.

121020221000 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 121020221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161899171200).

121020221000 is an abundant number, since it is smaller than the sum of its proper divisors (202778121400).

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

121020221000 is a wasteful number, since it uses less digits than its factorization.

121020221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344 (or 8330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121020221000 its reverse (122020121), we get a palindrome (121142241121).

The spelling of 121020221000 in words is "one hundred twenty-one billion, twenty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 4139 4177 7000 8278 8354 16556 16708 20695 20885 28973 29239 33112 33416 41390 41770 57946 58478 82780 83540 103475 104425 115892 116956 144865 146195 165560 167080 206950 208850 231784 233912 289730 292390 413900 417700 517375 522125 579460 584780 724325 730975 827800 835400 1034750 1044250 1158920 1169560 1448650 1461950 2069500 2088500 2897300 2923900 3621625 3654875 4139000 4177000 5794600 5847800 7243250 7309750 14486500 14619500 17288603 28973000 29239000 34577206 69154412 86443015 121020221 138308824 172886030 242040442 345772060 432215075 484080884 605101105 691544120 864430150 968161768 1210202210 1728860300 2161075375 2420404420 3025505525 3457720600 4322150750 4840808840 6051011050 8644301500 12102022100 15127527625 17288603000 24204044200 30255055250 60510110500 121020221000