61222335543600 has 480 divisors, whose sum is σ = 250193938182144. Its totient is φ = 12425674060800.

The previous prime is 61222335543571. The next prime is 61222335543601. The reversal of 61222335543600 is 634553322216.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (61222335543601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3731212 + ... + 11677611.

Almost surely, 2^{61222335543600} is an apocalyptic number.

61222335543600 is a gapful number since it is divisible by the number (60) 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 61222335543600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125096969091072).

61222335543600 is an abundant number, since it is smaller than the sum of its proper divisors (188971602638544).

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

61222335543600 is a wasteful number, since it uses less digits than its factorization.

61222335543600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15408905 (or 15408894 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

Adding to 61222335543600 its reverse (634553322216), we get a palindrome (61856888865816).

The spelling of 61222335543600 in words is "sixty-one trillion, two hundred twenty-two billion, three hundred thirty-five million, five hundred forty-three thousand, six hundred".