1021224000 has 224 divisors, whose sum is σ = 3571865856. Its totient is φ = 256204800.

The previous prime is 1021223953. The next prime is 1021224007. The reversal of 1021224000 is 4221201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021224007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406749 + ... + 409251.

Almost surely, 2^1021224000 is an apocalyptic number.

1021224000 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 1021224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785932928).

1021224000 is an abundant number, since it is smaller than the sum of its proper divisors (2550641856).

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

1021224000 is a wasteful number, since it uses less digits than its factorization.

1021224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1021224000 is about 31956.5955633575. The cubic root of 1021224000 is about 1007.0251976916.

Adding to 1021224000 its reverse (4221201), we get a palindrome (1025445201).

The spelling of 1021224000 in words is "one billion, twenty-one million, two hundred twenty-four thousand".