1040212000 has 96 divisors (see below), whose sum is σ = 2690513280. Its totient is φ = 394156800.

The previous prime is 1040211989. The next prime is 1040212009. The reversal of 1040212000 is 2120401.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1040212009) 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, 69157 + ... + 82843.

It is an arithmetic number, because the mean of its divisors is an integer number (28026180).

Almost surely, 2^1040212000 is an apocalyptic number.

1040212000 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 1040212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345256640).

1040212000 is an abundant number, since it is smaller than the sum of its proper divisors (1650301280).

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

1040212000 is a wasteful number, since it uses less digits than its factorization.

1040212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13731 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1040212000 is about 32252.3177461714. The cubic root of 1040212000 is about 1013.2282420255.

Adding to 1040212000 its reverse (2120401), we get a palindrome (1042332401).

The spelling of 1040212000 in words is "one billion, forty million, two hundred twelve thousand".