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121021001200 = 24521167410519
BaseRepresentation
bin111000010110101101…
…0011110110111110000
3102120101011100211211201
41300231122132313300
53440322334014300
6131332444020544
711513004352201
oct1605532366760
9376334324751
10121021001200
1147363222470
121b555831754
13b5488985a8
145c00b9d5a8
15323493466a
hex1c2d69edf0

121021001200 has 120 divisors (see below), whose sum is σ = 321919931520. Its totient is φ = 43350700800.

The previous prime is 121021001197. The next prime is 121021001207. The reversal of 121021001200 is 2100120121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121021001207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89541 + ... + 500059.

It is an arithmetic number, because the mean of its divisors is an integer number (2682666096).

Almost surely, 2121021001200 is an apocalyptic number.

121021001200 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 121021001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160959965760).

121021001200 is an abundant number, since it is smaller than the sum of its proper divisors (200898930320).

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

121021001200 is a wasteful number, since it uses less digits than its factorization.

121021001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410615 (or 410604 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121021001200 its reverse (2100120121), we get a palindrome (123121121321).

The spelling of 121021001200 in words is "one hundred twenty-one billion, twenty-one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 67 80 88 100 110 134 176 200 220 268 275 335 400 440 536 550 670 737 880 1072 1100 1340 1474 1675 2200 2680 2948 3350 3685 4400 5360 5896 6700 7370 11792 13400 14740 18425 26800 29480 36850 58960 73700 147400 294800 410519 821038 1642076 2052595 3284152 4105190 4515709 6568304 8210380 9031418 10262975 16420760 18062836 20525950 22578545 27504773 32841520 36125672 41051900 45157090 55009546 72251344 82103800 90314180 110019092 112892725 137523865 164207600 180628360 220038184 225785450 275047730 302552503 361256720 440076368 451570900 550095460 605105006 687619325 903141800 1100190920 1210210012 1375238650 1512762515 1806283600 2200381840 2420420024 2750477300 3025525030 4840840048 5500954600 6051050060 7563812575 11001909200 12102100120 15127625150 24204200240 30255250300 60510500600 121021001200