1221105714400 has 864 divisors, whose sum is σ = 3804326507520. Its totient is φ = 378233856000.

The previous prime is 1221105714359. The next prime is 1221105714401. The reversal of 1221105714400 is 44175011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221105714401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 991961785 + ... + 991963015.

It is an arithmetic number, because the mean of its divisors is an integer number (4403155680).

Almost surely, 2^{1221105714400} is an apocalyptic number.

1221105714400 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 1221105714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902163253760).

1221105714400 is an abundant number, since it is smaller than the sum of its proper divisors (2583220793120).

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

1221105714400 is a wasteful number, since it uses less digits than its factorization.

1221105714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The spelling of 1221105714400 in words is "one trillion, two hundred twenty-one billion, one hundred five million, seven hundred fourteen thousand, four hundred".