1221431030400 has 768 divisors, whose sum is σ = 4740146611200. Its totient is φ = 270640742400.

The previous prime is 1221431030383. The next prime is 1221431030453. The reversal of 1221431030400 is 40301341221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401652880 + ... + 401655920.

It is an arithmetic number, because the mean of its divisors is an integer number (6172065900).

Almost surely, 2^{1221431030400} is an apocalyptic number.

1221431030400 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 1221431030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370073305600).

1221431030400 is an abundant number, since it is smaller than the sum of its proper divisors (3518715580800).

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

1221431030400 is a wasteful number, since it uses less digits than its factorization.

1221431030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1221431030400 its reverse (40301341221), we get a palindrome (1261732371621).

The spelling of 1221431030400 in words is "one trillion, two hundred twenty-one billion, four hundred thirty-one million, thirty thousand, four hundred".