561362122200 has 192 divisors, whose sum is σ = 1910075068800. Its totient is φ = 135252633600.

The previous prime is 561362122177. The next prime is 561362122231. The reversal of 561362122200 is 2221263165.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 814896 + ... + 1336704.

It is an arithmetic number, because the mean of its divisors is an integer number (9948307650).

Almost surely, 2^561362122200 is an apocalyptic number.

561362122200 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 561362122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955037534400).

561362122200 is an abundant number, since it is smaller than the sum of its proper divisors (1348712946600).

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

561362122200 is a wasteful number, since it uses less digits than its factorization.

561362122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522002 (or 521993 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 561362122200 its reverse (2221263165), we get a palindrome (563583385365).

The spelling of 561362122200 in words is "five hundred sixty-one billion, three hundred sixty-two million, one hundred twenty-two thousand, two hundred".