1213064000 has 112 divisors (see below), whose sum is σ = 3061904976. Its totient is φ = 475904000.

The previous prime is 1213063979. The next prime is 1213064033. The reversal of 1213064000 is 4603121.

It can be written as a sum of positive squares in 8 ways, for example, as 240622144 + 972441856 = 15512^2 + 31184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1213064000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422570 + ... + 425430.

Almost surely, 2^1213064000 is an apocalyptic number.

1213064000 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 1213064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530952488).

1213064000 is an abundant number, since it is smaller than the sum of its proper divisors (1848840976).

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

1213064000 is an equidigital number, since it uses as much as digits as its factorization.

1213064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1213064000 is about 34829.0683194369. The cubic root of 1213064000 is about 1066.5009291103.

Adding to 1213064000 its reverse (4603121), we get a palindrome (1217667121).

The spelling of 1213064000 in words is "one billion, two hundred thirteen million, sixty-four thousand".