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4400212120 = 235110005303
BaseRepresentation
bin1000001100100010…
…11110100010011000
3102100122202221021021
410012101132202120
533002423241440
62004343452224
7214020120523
oct40621364230
912318687237
104400212120
111958894547
12a29757074
13551808715
142da571bba
151ab47b84a
hex10645e898

4400212120 has 16 divisors (see below), whose sum is σ = 9900477360. Its totient is φ = 1760084832.

The previous prime is 4400212099. The next prime is 4400212121. The reversal of 4400212120 is 212120044.

It is a junction number, because it is equal to n+sod(n) for n = 4400212094 and 4400212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55002612 + ... + 55002691.

It is an arithmetic number, because the mean of its divisors is an integer number (618779835).

Almost surely, 24400212120 is an apocalyptic number.

4400212120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400212120 is an abundant number, since it is smaller than the sum of its proper divisors (5500265240).

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

4400212120 is a wasteful number, since it uses less digits than its factorization.

4400212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110005314 (or 110005310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4400212120 is about 66334.0947024982. The cubic root of 4400212120 is about 1638.6688732672.

Adding to 4400212120 its reverse (212120044), we get a palindrome (4612332164).

The spelling of 4400212120 in words is "four billion, four hundred million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 110005303 220010606 440021212 550026515 880042424 1100053030 2200106060 4400212120