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120211200022200 = 2335276111310134099
BaseRepresentation
bin11011010101010011011001…
…111000000001011010111000
3120202122002010012212210112220
4123111103121320001122320
5111224020014201202300
61103400132442204040
734214654412563130
oct3325233170013270
9522562105783486
10120211200022200
1135337313570901
121159589b7b3620
13520cb37c37901
14219837880bac0
15dd6e80ec9da0
hex6d54d9e016b8

120211200022200 has 768 divisors, whose sum is σ = 437241407616000. Its totient is φ = 26754261811200.

The previous prime is 120211200022153. The next prime is 120211200022217. The reversal of 120211200022200 is 2220002112021.

It is a super-2 number, since 2×1202112000222002 (a number of 29 digits) contains 22 as substring.

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 120211200022200.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 29326955751 + ... + 29326959849.

It is an arithmetic number, because the mean of its divisors is an integer number (569324749500).

Almost surely, 2120211200022200 is an apocalyptic number.

120211200022200 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 120211200022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218620703808000).

120211200022200 is an abundant number, since it is smaller than the sum of its proper divisors (317030207593800).

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

120211200022200 is a wasteful number, since it uses less digits than its factorization.

120211200022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5303 counting only the distinct ones).

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

Adding to 120211200022200 its reverse (2220002112021), we get a palindrome (122431202134221).

The spelling of 120211200022200 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred million, twenty-two thousand, two hundred".