122545120500 has 576 divisors, whose sum is σ = 451045760256. Its totient is φ = 27678720000.

The previous prime is 122545120499. The next prime is 122545120507. The reversal of 122545120500 is 5021545221.

122545120500 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 451 + 205 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122545120507) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90039820 + ... + 90041180.

It is an arithmetic number, because the mean of its divisors is an integer number (783065556).

Almost surely, 2^122545120500 is an apocalyptic number.

122545120500 is a gapful number since it is divisible by the number (10) 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 122545120500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225522880128).

122545120500 is an abundant number, since it is smaller than the sum of its proper divisors (328500639756).

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

122545120500 is a wasteful number, since it uses less digits than its factorization.

122545120500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 122545120500 its reverse (5021545221), we get a palindrome (127566665721).

The spelling of 122545120500 in words is "one hundred twenty-two billion, five hundred forty-five million, one hundred twenty thousand, five hundred".