47701120 has 64 divisors (see below), whose sum is σ = 115710840. Its totient is φ = 18800640.

The previous prime is 47701111. The next prime is 47701127. The reversal of 47701120 is 2110774.

47701120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40857664 + 6843456 = 6392^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 47701091 and 47701100.

It is not an unprimeable number, because it can be changed into a prime (47701127) 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 7 ways as a sum of consecutive naturals, for example, 46210 + ... + 47230.

Almost surely, 2^47701120 is an apocalyptic number.

47701120 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 47701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57855420).

47701120 is an abundant number, since it is smaller than the sum of its proper divisors (68009720).

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

47701120 is a wasteful number, since it uses less digits than its factorization.

47701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 47701120 is about 6906.5997422755. The cubic root of 47701120 is about 362.6682405737.

Adding to 47701120 its reverse (2110774), we get a palindrome (49811894).

The spelling of 47701120 in words is "forty-seven million, seven hundred one thousand, one hundred twenty".