1222212400400 has 120 divisors (see below), whose sum is σ = 2974737405960. Its totient is φ = 482516193280.

The previous prime is 1222212400361. The next prime is 1222212400433. The reversal of 1222212400400 is 40042122221.

It can be written as a sum of positive squares in 12 ways, for example, as 990454886656 + 231757513744 = 995216^2 + 481412^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19798382 + ... + 19860018.

It is an arithmetic number, because the mean of its divisors is an integer number (24789478383).

Almost surely, 2^{1222212400400} is an apocalyptic number.

1222212400400 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 1222212400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487368702980).

1222212400400 is an abundant number, since it is smaller than the sum of its proper divisors (1752525005560).

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

1222212400400 is a wasteful number, since it uses less digits than its factorization.

1222212400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62301 (or 62290 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1222212400400 its reverse (40042122221), we get a palindrome (1262254522621).

The spelling of 1222212400400 in words is "one trillion, two hundred twenty-two billion, two hundred twelve million, four hundred thousand, four hundred".