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2010122221200 = 2435217374361933
BaseRepresentation
bin11101010000000100100…
…111101111011010010000
321010011110212120222001120
4131100010213233122100
5230413212242034300
64135234251202240
7265140462652032
oct35200447573220
97104425528046
102010122221200
11705540654455
122856a9a46380
13117727675782
146d40cd49c52
153744b97e3a0
hex1d4049ef690

2010122221200 has 480 divisors, whose sum is σ = 7165084012416. Its totient is φ = 479442862080.

The previous prime is 2010122221187. The next prime is 2010122221213. The reversal of 2010122221200 is 21222210102.

It is an interprime number because it is at equal distance from previous prime (2010122221187) and next prime (2010122221213).

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 2010122221200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32425434 + ... + 32487366.

Almost surely, 22010122221200 is an apocalyptic number.

2010122221200 is a gapful number since it is divisible by the number (20) 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 2010122221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582542006208).

2010122221200 is an abundant number, since it is smaller than the sum of its proper divisors (5154961791216).

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

2010122221200 is a wasteful number, since it uses less digits than its factorization.

2010122221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62051 (or 62040 counting only the distinct ones).

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

Adding to 2010122221200 its reverse (21222210102), we get a palindrome (2031344431302).

It can be divided in two parts, 2010122 and 221200, that added together give a palindrome (2231322).

The spelling of 2010122221200 in words is "two trillion, ten billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred".