1213110400 has 48 divisors (see below), whose sum is σ = 2996769690. Its totient is φ = 485242880.

The previous prime is 1213110391. The next prime is 1213110403. The reversal of 1213110400 is 40113121.

It can be written as a sum of positive squares in 3 ways, for example, as 1129497664 + 83612736 = 33608^2 + 9144^2 .

It is not an unprimeable number, because it can be changed into a prime (1213110403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 186349 + ... + 192748.

Almost surely, 2^1213110400 is an apocalyptic number.

1213110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213110400 is an abundant number, since it is smaller than the sum of its proper divisors (1783659290).

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

1213110400 is an equidigital number, since it uses as much as digits as its factorization.

1213110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379121 (or 379104 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1213110400 is about 34829.7344233343. The cubic root of 1213110400 is about 1066.5145269123.

Adding to 1213110400 its reverse (40113121), we get a palindrome (1253223521).

The spelling of 1213110400 in words is "one billion, two hundred thirteen million, one hundred ten thousand, four hundred".