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120323214032000 = 2753710310430237
BaseRepresentation
bin11011010110111011101110…
…011011100011110010000000
3120210000210020200000001222112
4123112323232123203302000
5111232333420243011000
61103523415455154452
734226031261135230
oct3326735633436200
9523023220001875
10120323214032000
113537a874557321
12115b3540b15a28
13521a579775895
14219d963295cc0
15dd9d39d01235
hex6d6eee6e3c80

120323214032000 has 256 divisors, whose sum is σ = 345209169876480. Its totient is φ = 40853148364800.

The previous prime is 120323214031967. The next prime is 120323214032009. The reversal of 120323214032000 is 230412323021.

It is not an unprimeable number, because it can be changed into a prime (120323214032009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6320882 + ... + 16751118.

It is an arithmetic number, because the mean of its divisors is an integer number (1348473319830).

Almost surely, 2120323214032000 is an apocalyptic number.

120323214032000 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 120323214032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172604584938240).

120323214032000 is an abundant number, since it is smaller than the sum of its proper divisors (224885955844480).

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

120323214032000 is a wasteful number, since it uses less digits than its factorization.

120323214032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10430376 (or 10430354 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 120323214032000 its reverse (230412323021), we get a palindrome (120553626355021).

The spelling of 120323214032000 in words is "one hundred twenty trillion, three hundred twenty-three billion, two hundred fourteen million, thirty-two thousand".