Search a number
-
+
121032131231200 = 25527136931578389
BaseRepresentation
bin11011100001001111111101…
…001100000011110111100000
3120212112120002022210010101111
4123201033331030003313200
5111330442301043344300
61105225220555113104
734331166016663120
oct3341177514036740
9525476068703344
10121032131231200
1135623490862732
12116a8a07a42794
13526c386491947
1421c5db49bac80
15ded4cbb7b9ba
hex6e13fd303de0

121032131231200 has 144 divisors (see below), whose sum is σ = 337704520839840. Its totient is φ = 41493673912320.

The previous prime is 121032131231153. The next prime is 121032131231203. The reversal of 121032131231200 is 2132131230121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121032131231203) 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, 75891606 + ... + 77469994.

It is an arithmetic number, because the mean of its divisors is an integer number (2345170283610).

Almost surely, 2121032131231200 is an apocalyptic number.

121032131231200 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 121032131231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168852260419920).

121032131231200 is an abundant number, since it is smaller than the sum of its proper divisors (216672389608640).

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

121032131231200 is a wasteful number, since it uses less digits than its factorization.

121032131231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592109 (or 1592096 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 121032131231200 its reverse (2132131230121), we get a palindrome (123164262461321).

The spelling of 121032131231200 in words is "one hundred twenty-one trillion, thirty-two billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 13693 27386 54772 68465 95851 109544 136930 191702 219088 273860 342325 383404 438176 479255 547720 684650 766808 958510 1095440 1369300 1533616 1578389 1917020 2190880 2396275 2738600 3067232 3156778 3834040 4792550 5477200 6313556 7668080 7891945 9585100 10954400 11048723 12627112 15336160 15783890 19170200 22097446 25254224 31567780 38340400 39459725 44194892 50508448 55243615 63135560 76680800 78919450 88389784 110487230 126271120 157838900 176779568 220974460 252542240 276218075 315677800 353559136 441948920 552436150 631355600 883897840 1104872300 1262711200 1767795680 2209744600 4419489200 8838978400 21612880577 43225761154 86451522308 108064402885 151290164039 172903044616 216128805770 302580328078 345806089232 432257611540 540322014425 605160656156 691612178464 756450820195 864515223080 1080644028850 1210321312312 1512901640390 1729030446160 2161288057700 2420642624624 3025803280780 3458060892320 3782254100975 4322576115400 4841285249248 6051606561560 7564508201950 8645152230800 12103213123120 15129016403900 17290304461600 24206426246240 30258032807800 60516065615600 121032131231200