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4200012120 = 233541247443
BaseRepresentation
bin1111101001010111…
…0001100101011000
3101211201001201111110
43322111301211120
532100200341440
61532432500320
7206036341203
oct37225614530
911751051443
104200012120
1118658852a7
129926aa6a0
1351c1b1395
142bbb3a93a
15198ad3080
hexfa571958

4200012120 has 192 divisors, whose sum is σ = 13219407360. Its totient is φ = 1067023360.

The previous prime is 4200012119. The next prime is 4200012127. The reversal of 4200012120 is 212100024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4200012096 and 4200012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200012127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9480619 + ... + 9481061.

It is an arithmetic number, because the mean of its divisors is an integer number (68851080).

Almost surely, 24200012120 is an apocalyptic number.

4200012120 is a gapful number since it is divisible by the number (40) 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 4200012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609703680).

4200012120 is an abundant number, since it is smaller than the sum of its proper divisors (9019395240).

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

4200012120 is a wasteful number, since it uses less digits than its factorization.

4200012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4200012120 is about 64807.5004918412. The cubic root of 4200012120 is about 1613.4301979877.

Adding to 4200012120 its reverse (212100024), we get a palindrome (4412112144).

The spelling of 4200012120 in words is "four billion, two hundred million, twelve thousand, one hundred twenty".