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120002131330120 = 2351331371098872081
BaseRepresentation
bin11011010010010000101100…
…011010010000010001001000
3120201220002110212020211020001
4123102100230122100101020
5111212103331110030440
61103120115034412344
734163603453166454
oct3322205432202110
9521802425224201
10120002131330120
1135266688761066
1211561272b910b4
1351c61c9b67060
14218c1c4153664
15dd17e680ab9a
hex6d242c690448

120002131330120 has 512 divisors, whose sum is σ = 311595011481600. Its totient is φ = 41271076454400.

The previous prime is 120002131329979. The next prime is 120002131330127. The reversal of 120002131330120 is 21033131200021.

It is not an unprimeable number, because it can be changed into a prime (120002131330127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57665607480 + ... + 57665609560.

It is an arithmetic number, because the mean of its divisors is an integer number (608584006800).

Almost surely, 2120002131330120 is an apocalyptic number.

120002131330120 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 120002131330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155797505740800).

120002131330120 is an abundant number, since it is smaller than the sum of its proper divisors (191592880151480).

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

120002131330120 is a wasteful number, since it uses less digits than its factorization.

120002131330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 120002131330120 its reverse (21033131200021), we get a palindrome (141035262530141).

The spelling of 120002131330120 in words is "one hundred twenty trillion, two billion, one hundred thirty-one million, three hundred thirty thousand, one hundred twenty".