Search a number
-
+
120001322021200 = 24521014396766127
BaseRepresentation
bin11011010010001111111100…
…001010111111000101010000
3120201220000101110101200002121
4123102033330022333011100
5111212100201414134300
61103115502444224024
734163544425162314
oct3322177412770520
9521800343350077
10120001322021200
1135266302942314
1211561087b3b014
1351c60cb2a5039
14218c148883b44
15dd179a74581a
hex6d23fc2bf150

120001322021200 has 120 divisors (see below), whose sum is σ = 291820935479040. Its totient is φ = 47417011008000.

The previous prime is 120001322021179. The next prime is 120001322021201. The reversal of 120001322021200 is 2120223100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001322021201) 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, 14352537 + ... + 21118663.

It is an arithmetic number, because the mean of its divisors is an integer number (2431841128992).

Almost surely, 2120001322021200 is an apocalyptic number.

120001322021200 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 120001322021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145910467739520).

120001322021200 is an abundant number, since it is smaller than the sum of its proper divisors (171819613457840).

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

120001322021200 is a wasteful number, since it uses less digits than its factorization.

120001322021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766685 (or 6766674 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120001322021200 its reverse (2120223100021), we get a palindrome (122121545121221).

The spelling of 120001322021200 in words is "one hundred twenty trillion, one billion, three hundred twenty-two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 439 505 808 878 1010 1616 1756 2020 2195 2525 3512 4040 4390 5050 7024 8080 8780 10100 10975 17560 20200 21950 35120 40400 43900 44339 87800 88678 175600 177356 221695 354712 443390 709424 886780 1108475 1773560 2216950 3547120 4433900 6766127 8867800 13532254 17735600 27064508 33830635 54129016 67661270 108258032 135322540 169153175 270645080 338306350 541290160 676612700 683378827 1353225400 1366757654 2706450800 2733515308 2970329753 3416894135 5467030616 5940659506 6833788270 10934061232 11881319012 13667576540 14851648765 17084470675 23762638024 27335153080 29703297530 34168941350 47525276048 54670306160 59406595060 68337882700 74258243825 118813190120 136675765400 148516487650 237626380240 273351530800 297032975300 300003305053 594065950600 600006610106 1188131901200 1200013220212 1500016525265 2400026440424 3000033050530 4800052880848 6000066101060 7500082626325 12000132202120 15000165252650 24000264404240 30000330505300 60000661010600 120001322021200