47125120 has 128 divisors (see below), whose sum is σ = 131506560. Its totient is φ = 15814656.

The previous prime is 47125097. The next prime is 47125153. The reversal of 47125120 is 2152174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 47125091 and 47125100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300082 + ... + 300238.

It is an arithmetic number, because the mean of its divisors is an integer number (1027395).

Almost surely, 2^47125120 is an apocalyptic number.

47125120 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 47125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65753280).

47125120 is an abundant number, since it is smaller than the sum of its proper divisors (84381440).

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

47125120 is a wasteful number, since it uses less digits than its factorization.

47125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 47125120 is about 6864.7738491519. The cubic root of 47125120 is about 361.2025627857.

Adding to 47125120 its reverse (2152174), we get a palindrome (49277294).

The spelling of 47125120 in words is "forty-seven million, one hundred twenty-five thousand, one hundred twenty".