1002225122550 has 144 divisors (see below), whose sum is σ = 2704537836000. Its totient is φ = 266081034240.

The previous prime is 1002225122539. The next prime is 1002225122611. The reversal of 1002225122550 is 552215222001.

It is a happy number.

1002225122550 is a `hidden beast` number, since 100 + 2 + 2 + 2 + 5 + 1 + 2 + 2 + 550 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 325501911 + ... + 325504989.

It is an arithmetic number, because the mean of its divisors is an integer number (18781512750).

Almost surely, 2^{1002225122550} is an apocalyptic number.

1002225122550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002225122550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352268918000).

1002225122550 is an abundant number, since it is smaller than the sum of its proper divisors (1702312713450).

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

1002225122550 is a wasteful number, since it uses less digits than its factorization.

1002225122550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055 (or 6047 counting only the distinct ones).

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

The spelling of 1002225122550 in words is "one trillion, two billion, two hundred twenty-five million, one hundred twenty-two thousand, five hundred fifty".