12410211000400 has 30 divisors (see below), whose sum is σ = 29815531929422. Its totient is φ = 4964084400000.

The previous prime is 12410211000391. The next prime is 12410211000409. The reversal of 12410211000400 is 400011201421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12410211000391) and next prime (12410211000409).

It can be written as a sum of positive squares in 3 ways, for example, as 4142722895424 + 8267488104976 = 2035368^2 + 2875324^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12410211000409) 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, 15512763351 + ... + 15512764150.

Almost surely, 2^{12410211000400} is an apocalyptic number.

12410211000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12410211000400 is an abundant number, since it is smaller than the sum of its proper divisors (17405320929022).

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

12410211000400 is a wasteful number, since it uses less digits than its factorization.

12410211000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31025527519 (or 31025527508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12410211000400 its reverse (400011201421), we get a palindrome (12810222201821).

The spelling of 12410211000400 in words is "twelve trillion, four hundred ten billion, two hundred eleven million, four hundred", and thus it is an aban number.