122545126010200 has 192 divisors, whose sum is σ = 297780711528960. Its totient is φ = 46854021957120.

The previous prime is 122545126010147. The next prime is 122545126010207. The reversal of 122545126010200 is 2010621545221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122545126010207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6650293387 + ... + 6650311813.

It is an arithmetic number, because the mean of its divisors is an integer number (1550941205880).

Almost surely, 2^{122545126010200} is an apocalyptic number.

122545126010200 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 122545126010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148890355764480).

122545126010200 is an abundant number, since it is smaller than the sum of its proper divisors (175235585518760).

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

122545126010200 is a wasteful number, since it uses less digits than its factorization.

122545126010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34986 (or 34977 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 122545126010200 its reverse (2010621545221), we get a palindrome (124555747555421).

The spelling of 122545126010200 in words is "one hundred twenty-two trillion, five hundred forty-five billion, one hundred twenty-six million, ten thousand, two hundred".