222181331290800 has 240 divisors, whose sum is σ = 820593465561600. Its totient is φ = 50334885457920.

The previous prime is 222181331290769. The next prime is 222181331290871. The reversal of 222181331290800 is 8092133181222.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116086900 + ... + 117985299.

It is an arithmetic number, because the mean of its divisors is an integer number (3419139439840).

Almost surely, 2^{222181331290800} is an apocalyptic number.

222181331290800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222181331290800 is an abundant number, since it is smaller than the sum of its proper divisors (598412134270800).

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

222181331290800 is a wasteful number, since it uses less digits than its factorization.

222181331290800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234072340 (or 234072329 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 222181331290800 in words is "two hundred twenty-two trillion, one hundred eighty-one billion, three hundred thirty-one million, two hundred ninety thousand, eight hundred".