1020022000 has 80 divisors (see below), whose sum is σ = 2489572800. Its totient is φ = 404179200.

The previous prime is 1020021991. The next prime is 1020022001. The reversal of 1020022000 is 2200201.

It is a happy number.

1020022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020022001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215661 + ... + 220339.

It is an arithmetic number, because the mean of its divisors is an integer number (31119660).

Almost surely, 2^1020022000 is an apocalyptic number.

1020022000 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 1020022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244786400).

1020022000 is an abundant number, since it is smaller than the sum of its proper divisors (1469550800).

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

1020022000 is a wasteful number, since it uses less digits than its factorization.

1020022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 1020022000 is about 31937.7832668456. The cubic root of 1020022000 is about 1006.6299466648.

Adding to 1020022000 its reverse (2200201), we get a palindrome (1022222201).

The spelling of 1020022000 in words is "one billion, twenty million, twenty-two thousand".