1212544000 has 88 divisors (see below), whose sum is σ = 3025351368. Its totient is φ = 484966400.

The previous prime is 1212543979. The next prime is 1212544007. The reversal of 1212544000 is 4452121.

It can be written as a sum of positive squares in 4 ways, for example, as 11505664 + 1201038336 = 3392^2 + 34656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212544007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123264 + ... + 132736.

Almost surely, 2^1212544000 is an apocalyptic number.

1212544000 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 1212544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512675684).

1212544000 is an abundant number, since it is smaller than the sum of its proper divisors (1812807368).

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

1212544000 is an frugal number, since it uses more digits than its factorization.

1212544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9508 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1212544000 is about 34821.6024904082. The cubic root of 1212544000 is about 1066.3485162271.

Adding to 1212544000 its reverse (4452121), we get a palindrome (1216996121).

The spelling of 1212544000 in words is "one billion, two hundred twelve million, five hundred forty-four thousand".