1221314120000 has 280 divisors, whose sum is σ = 3373925154600. Its totient is φ = 435391488000.

The previous prime is 1221314119957. The next prime is 1221314120009. The reversal of 1221314120000 is 214131221.

It can be written as a sum of positive squares in 20 ways, for example, as 1166797473856 + 54516646144 = 1080184^2 + 233488^2 .

It is a super-2 number, since 2×1221314120000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221314120009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15039506 + ... + 15120494.

It is an arithmetic number, because the mean of its divisors is an integer number (12049732695).

Almost surely, 2^{1221314120000} is an apocalyptic number.

1221314120000 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 1221314120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686962577300).

1221314120000 is an abundant number, since it is smaller than the sum of its proper divisors (2152611034600).

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

1221314120000 is an equidigital number, since it uses as much as digits as its factorization.

1221314120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81063 (or 81038 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1221314120000 its reverse (214131221), we get a palindrome (1221528251221).

The spelling of 1221314120000 in words is "one trillion, two hundred twenty-one billion, three hundred fourteen million, one hundred twenty thousand".