50122354022400 has 1152 divisors, whose sum is σ = 183286611406080. Its totient is φ = 11982077952000.

The previous prime is 50122354022381. The next prime is 50122354022401. The reversal of 50122354022400 is 422045322105.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50122354022401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85387314907 + ... + 85387315493.

It is an arithmetic number, because the mean of its divisors is an integer number (159102961290).

Almost surely, 2^{50122354022400} is an apocalyptic number.

50122354022400 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 50122354022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91643305703040).

50122354022400 is an abundant number, since it is smaller than the sum of its proper divisors (133164257383680).

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

50122354022400 is a wasteful number, since it uses less digits than its factorization.

50122354022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 50122354022400 its reverse (422045322105), we get a palindrome (50544399344505).

The spelling of 50122354022400 in words is "fifty trillion, one hundred twenty-two billion, three hundred fifty-four million, twenty-two thousand, four hundred".