1034221322000 has 80 divisors (see below), whose sum is σ = 2508169405872. Its totient is φ = 412460697600.

The previous prime is 1034221321979. The next prime is 1034221322033. The reversal of 1034221322000 is 2231224301.

1034221322000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 630925198864 + 403296123136 = 794308^2 + 635056^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1034221322000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93227 + ... + 1441226.

Almost surely, 2^{1034221322000} is an apocalyptic number.

1034221322000 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 1034221322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254084702936).

1034221322000 is an abundant number, since it is smaller than the sum of its proper divisors (1473948083872).

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

1034221322000 is a wasteful number, since it uses less digits than its factorization.

1034221322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534813 (or 1534797 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1034221322000 its reverse (2231224301), we get a palindrome (1036452546301).

The spelling of 1034221322000 in words is "one trillion, thirty-four billion, two hundred twenty-one million, three hundred twenty-two thousand".