1221214410240 has 320 divisors, whose sum is σ = 4280662805760. Its totient is φ = 294545162240.

The previous prime is 1221214410239. The next prime is 1221214410259. The reversal of 1221214410240 is 420144121221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1221214410240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16605871 + ... + 16679249.

It is an arithmetic number, because the mean of its divisors is an integer number (13377071268).

Almost surely, 2^{1221214410240} is an apocalyptic number.

1221214410240 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 1221214410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140331402880).

1221214410240 is an abundant number, since it is smaller than the sum of its proper divisors (3059448395520).

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

1221214410240 is a wasteful number, since it uses less digits than its factorization.

1221214410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73613 (or 73597 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1221214410240 its reverse (420144121221), we get a palindrome (1641358531461).

The spelling of 1221214410240 in words is "one trillion, two hundred twenty-one billion, two hundred fourteen million, four hundred ten thousand, two hundred forty".