1022137168000 has 256 divisors, whose sum is σ = 2743015897440. Its totient is φ = 376543641600.

The previous prime is 1022137167977. The next prime is 1022137168021. The reversal of 1022137168000 is 8617312201.

It can be written as a sum of positive squares in 16 ways, for example, as 5444078656 + 1016693089344 = 73784^2 + 1008312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95050624 + ... + 95061376.

Almost surely, 2^{1022137168000} is an apocalyptic number.

1022137168000 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 1022137168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371507948720).

1022137168000 is an abundant number, since it is smaller than the sum of its proper divisors (1720878729440).

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

1022137168000 is a wasteful number, since it uses less digits than its factorization.

1022137168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11252 (or 11230 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 1022137168000 in words is "one trillion, twenty-two billion, one hundred thirty-seven million, one hundred sixty-eight thousand".