1045212000 has 384 divisors, whose sum is σ = 4090963968. Its totient is φ = 228096000.

The previous prime is 1045211989. The next prime is 1045212011. The reversal of 1045212000 is 2125401.

1045212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1045211989) and next prime (1045212011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1931730 + ... + 1932270.

It is an arithmetic number, because the mean of its divisors is an integer number (10653552).

Almost surely, 2^1045212000 is an apocalyptic number.

1045212000 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 1045212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045481984).

1045212000 is an abundant number, since it is smaller than the sum of its proper divisors (3045751968).

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

1045212000 is a wasteful number, since it uses less digits than its factorization.

1045212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1045212000 is about 32329.7386317922. The cubic root of 1045212000 is about 1014.8490801032.

Adding to 1045212000 its reverse (2125401), we get a palindrome (1047337401).

The spelling of 1045212000 in words is "one billion, forty-five million, two hundred twelve thousand".