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120222102012000 = 2535361716237453
BaseRepresentation
bin11011010101011101100011…
…101011110100000001100000
3120202200010020222220021001220
4123111131203223310001200
5111224204331103341000
61103405134325455040
734215521522142012
oct3325354353640140
9522603228807056
10120222102012000
11353409a844712a
1211597a22871480
135210b84767351
142198ad06881b2
15dd73bd1591a0
hex6d5763af4060

120222102012000 has 192 divisors, whose sum is σ = 394485957238464. Its totient is φ = 32007265382400.

The previous prime is 120222102011993. The next prime is 120222102012007. The reversal of 120222102012000 is 210201222021.

It is an interprime number because it is at equal distance from previous prime (120222102011993) and next prime (120222102012007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120222102012007) 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 31 ways as a sum of consecutive naturals, for example, 714727 + ... + 15522726.

It is an arithmetic number, because the mean of its divisors is an integer number (2054614360617).

Almost surely, 2120222102012000 is an apocalyptic number.

120222102012000 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 120222102012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197242978619232).

120222102012000 is an abundant number, since it is smaller than the sum of its proper divisors (274263855226464).

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

120222102012000 is a wasteful number, since it uses less digits than its factorization.

120222102012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16238098 (or 16238080 counting only the distinct ones).

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

Adding to 120222102012000 its reverse (210201222021), we get a palindrome (120432303234021).

The spelling of 120222102012000 in words is "one hundred twenty trillion, two hundred twenty-two billion, one hundred two million, twelve thousand".