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120110002321200 = 243521093547258887
BaseRepresentation
bin11011010011110101001010…
…000001011011011100110000
3120202021101220120112221101220
4123103311022001123130300
5111220340241043234300
61103241435012225040
734204442553403023
oct3323651201333460
9522241816487356
10120110002321200
11352a840305a271
121157a15890b180
13520342b25a268
1421934d86991ba
15dd450ba5ada0
hex6d3d4a05b730

120110002321200 has 240 divisors, whose sum is σ = 388393180412160. Its totient is φ = 31726417167360.

The previous prime is 120110002321151. The next prime is 120110002321201. The reversal of 120110002321200 is 2123200011021.

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 120110002321200.

It is not an unprimeable number, because it can be changed into a prime (120110002321201) 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, 463818157 + ... + 464077043.

It is an arithmetic number, because the mean of its divisors is an integer number (1618304918384).

Almost surely, 2120110002321200 is an apocalyptic number.

120110002321200 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 120110002321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194196590206080).

120110002321200 is an abundant number, since it is smaller than the sum of its proper divisors (268283178090960).

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

120110002321200 is a wasteful number, since it uses less digits than its factorization.

120110002321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262564 (or 262553 counting only the distinct ones).

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

Adding to 120110002321200 its reverse (2123200011021), we get a palindrome (122233202332221).

The spelling of 120110002321200 in words is "one hundred twenty trillion, one hundred ten billion, two million, three hundred twenty-one thousand, two hundred".