47122800 has 120 divisors (see below), whose sum is σ = 152775936. Its totient is φ = 12414720.

The previous prime is 47122781. The next prime is 47122813. The reversal of 47122800 is 822174.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128217 + ... + 128583.

Almost surely, 2^47122800 is an apocalyptic number.

47122800 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 47122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76387968).

47122800 is an abundant number, since it is smaller than the sum of its proper divisors (105653136).

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

47122800 is a wasteful number, since it uses less digits than its factorization.

47122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 47122800 is about 6864.6048684538. The cubic root of 47122800 is about 361.1966352768.

Adding to 47122800 its reverse (822174), we get a palindrome (47944974).

The spelling of 47122800 in words is "forty-seven million, one hundred twenty-two thousand, eight hundred".