50122800 has 600 divisors, whose sum is σ = 234422496. Its totient is φ = 9953280.

The previous prime is 50122777. The next prime is 50122829. The reversal of 50122800 is 822105.

50122800 = 1236² + 1237² + ... + 1267².

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2948392 + ... + 2948408.

Almost surely, 2^50122800 is an apocalyptic number.

50122800 is a gapful number since it is divisible by the number (50) 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 50122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117211248).

50122800 is an abundant number, since it is smaller than the sum of its proper divisors (184299696).

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

50122800 is a wasteful number, since it uses less digits than its factorization.

50122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 50122800 is about 7079.7457581470. The cubic root of 50122800 is about 368.7045026697.

Adding to 50122800 its reverse (822105), we get a palindrome (50944905).

The spelling of 50122800 in words is "fifty million, one hundred twenty-two thousand, eight hundred".