1213441200 has 360 divisors, whose sum is σ = 4452505200. Its totient is φ = 305571840.

The previous prime is 1213441189. The next prime is 1213441211. The reversal of 1213441200 is 21443121.

1213441200 is a `hidden beast` number, since 1 + 21 + 3 + 441 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1213441189) and next prime (1213441211).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6159502 + ... + 6159698.

It is an arithmetic number, because the mean of its divisors is an integer number (12368070).

Almost surely, 2^1213441200 is an apocalyptic number.

1213441200 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 1213441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226252600).

1213441200 is an abundant number, since it is smaller than the sum of its proper divisors (3239064000).

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

1213441200 is a wasteful number, since it uses less digits than its factorization.

1213441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1213441200 is about 34834.4829156398. The cubic root of 1213441200 is about 1066.6114598164.

Adding to 1213441200 its reverse (21443121), we get a palindrome (1234884321).

The spelling of 1213441200 in words is "one billion, two hundred thirteen million, four hundred forty-one thousand, two hundred".