Search a number
-
+
120020122021200 = 243524314591594223
BaseRepresentation
bin11011010010100001011100…
…101111010010110101010000
3120201221210220122220121210220
4123102201130233102311100
5111212402202214134300
61103132252145353040
734165111336431042
oct3322413457226520
9521853818817726
10120020122021200
113527327aa655a5
1211564854038780
1351c7b061884ab
14218d00d639a92
15dd1eeae75da0
hex6d285cbd2d50

120020122021200 has 240 divisors, whose sum is σ = 393675378877440. Its totient is φ = 31239609085440.

The previous prime is 120020122021171. The next prime is 120020122021201. The reversal of 120020122021200 is 2120221020021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120020122021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020122021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74487289 + ... + 76081511.

It is an arithmetic number, because the mean of its divisors is an integer number (1640314078656).

Almost surely, 2120020122021200 is an apocalyptic number.

120020122021200 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 120020122021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196837689438720).

120020122021200 is an abundant number, since it is smaller than the sum of its proper divisors (273655256856240).

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

120020122021200 is a wasteful number, since it uses less digits than its factorization.

120020122021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595746 (or 1595735 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120020122021200 its reverse (2120221020021), we get a palindrome (122140343041221).

The spelling of 120020122021200 in words is "one hundred twenty trillion, twenty billion, one hundred twenty-two million, twenty-one thousand, two hundred".