1012221004000 has 192 divisors, whose sum is σ = 2656646620992. Its totient is φ = 377696256000.

The previous prime is 1012221003971. The next prime is 1012221004019. The reversal of 1012221004000 is 4001222101.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 7618135 + ... + 7749865.

It is an arithmetic number, because the mean of its divisors is an integer number (13836701151).

Almost surely, 2^{1012221004000} is an apocalyptic number.

1012221004000 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 1012221004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328323310496).

1012221004000 is an abundant number, since it is smaller than the sum of its proper divisors (1644425616992).

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

1012221004000 is a wasteful number, since it uses less digits than its factorization.

1012221004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131886 (or 131868 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1012221004000 its reverse (4001222101), we get a palindrome (1016222226101).

The spelling of 1012221004000 in words is "one trillion, twelve billion, two hundred twenty-one million, four thousand".