47121600 has 84 divisors (see below), whose sum is σ = 154613864. Its totient is φ = 12564480.

The previous prime is 47121583. The next prime is 47121601. The reversal of 47121600 is 612174.

It is not an unprimeable number, because it can be changed into a prime (47121601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109 + ... + 9708.

Almost surely, 2^47121600 is an apocalyptic number.

47121600 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 47121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77306932).

47121600 is an abundant number, since it is smaller than the sum of its proper divisors (107492264).

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

47121600 is a wasteful number, since it uses less digits than its factorization.

47121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9842 (or 9827 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 47121600 is about 6864.5174630122. The cubic root of 47121600 is about 361.1935692476.

Adding to 47121600 its reverse (612174), we get a palindrome (47733774).

The spelling of 47121600 in words is "forty-seven million, one hundred twenty-one thousand, six hundred".