1211040000 has 405 divisors, whose sum is σ = 4518907393. Its totient is φ = 311808000.

The previous prime is 1211039957. The next prime is 1211040011. The reversal of 1211040000 is 401121.

It is a happy number.

The square root of 1211040000 is 34800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 905769216 + 305270784 = 30096^2 + 17472^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41759986 + ... + 41760014.

Almost surely, 2^1211040000 is an apocalyptic number.

1211040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1211040000 is the 34800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211040000

1211040000 is an abundant number, since it is smaller than the sum of its proper divisors (3307867393).

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

1211040000 is an frugal number, since it uses more digits than its factorization.

1211040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The cubic root of 1211040000 is about 1065.9074458491.

Adding to 1211040000 its reverse (401121), we get a palindrome (1211441121).

The spelling of 1211040000 in words is "one billion, two hundred eleven million, forty thousand".