1214200521040 has 120 divisors (see below), whose sum is σ = 3045969186120. Its totient is φ = 447466773504.

The previous prime is 1214200521031. The next prime is 1214200521049. The reversal of 1214200521040 is 401250024121.

It is an interprime number because it is at equal distance from previous prime (1214200521031) and next prime (1214200521049).

It can be written as a sum of positive squares in 4 ways, for example, as 43943898384 + 1170256622656 = 209628^2 + 1081784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214200521049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435351966 + ... + 435354754.

It is an arithmetic number, because the mean of its divisors is an integer number (25383076551).

Almost surely, 2^{1214200521040} is an apocalyptic number.

1214200521040 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 1214200521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522984593060).

1214200521040 is an abundant number, since it is smaller than the sum of its proper divisors (1831768665080).

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

1214200521040 is an equidigital number, since it uses as much as digits as its factorization.

1214200521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 1214200521040 its reverse (401250024121), we get a palindrome (1615450545161).

The spelling of 1214200521040 in words is "one trillion, two hundred fourteen billion, two hundred million, five hundred twenty-one thousand, forty".