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2212120203120 = 2432553834331613
BaseRepresentation
bin100000001100001100101…
…000111000111101110000
321211110212110102122111100
4200030030220320331300
5242220410232444440
64412122313044400
7315551254324152
oct40141450707560
97743773378440
102212120203120
11783178203a83
122b88826b6700
131307a98b3569
14790d251cad2
153c820518230
hex2030ca38f70

2212120203120 has 480 divisors, whose sum is σ = 7682854390848. Its totient is φ = 570121224192.

The previous prime is 2212120203119. The next prime is 2212120203133. The reversal of 2212120203120 is 213020212122.

2212120203120 is a `hidden beast` number, since 2 + 212 + 120 + 20 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2212120203093 and 2212120203102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1371431434 + ... + 1371433046.

Almost surely, 22212120203120 is an apocalyptic number.

2212120203120 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 2212120203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841427195424).

2212120203120 is an abundant number, since it is smaller than the sum of its proper divisors (5470734187728).

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

2212120203120 is a wasteful number, since it uses less digits than its factorization.

2212120203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2212120203120 its reverse (213020212122), we get a palindrome (2425140415242).

The spelling of 2212120203120 in words is "two trillion, two hundred twelve billion, one hundred twenty million, two hundred three thousand, one hundred twenty".