1012022000 has 160 divisors (see below), whose sum is σ = 2695702464. Its totient is φ = 364416000.

The previous prime is 1012021999. The next prime is 1012022017. The reversal of 1012022000 is 2202101.

1012022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 3453854 + ... + 3454146.

Almost surely, 2^1012022000 is an apocalyptic number.

1012022000 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 1012022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347851232).

1012022000 is an abundant number, since it is smaller than the sum of its proper divisors (1683680464).

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

1012022000 is a wasteful number, since it uses less digits than its factorization.

1012022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

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

The square root of 1012022000 is about 31812.2932213319. The cubic root of 1012022000 is about 1003.9913810152.

Adding to 1012022000 its reverse (2202101), we get a palindrome (1014224101).

The spelling of 1012022000 in words is "one billion, twelve million, twenty-two thousand".