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120010132122000 = 24353291574393079
BaseRepresentation
bin11011010010011000001001…
…010010110110100110010000
3120201220212010110011011101020
4123102120021102312212100
5111212221222310401000
61103123521003235440
734164305643615351
oct3322301122664620
9521825113134336
10120010132122000
113526a013a1a45a
1211562926518b80
1351c6ba35c6733
14218c742985d28
15dd1b13e10ba0
hex6d26094b6990

120010132122000 has 320 divisors, whose sum is σ = 402803965324800. Its totient is φ = 30702343526400.

The previous prime is 120010132121951. The next prime is 120010132122031. The reversal of 120010132122000 is 221231010021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25121461 + ... + 29514539.

It is an arithmetic number, because the mean of its divisors is an integer number (1258762391640).

Almost surely, 2120010132122000 is an apocalyptic number.

120010132122000 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 120010132122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201401982662400).

120010132122000 is an abundant number, since it is smaller than the sum of its proper divisors (282793833202800).

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

120010132122000 is a wasteful number, since it uses less digits than its factorization.

120010132122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393291 (or 4393275 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120010132122000 its reverse (221231010021), we get a palindrome (120231363132021).

The spelling of 120010132122000 in words is "one hundred twenty trillion, ten billion, one hundred thirty-two million, one hundred twenty-two thousand".