1217226758400 has 243 divisors, whose sum is σ = 4352807262531. Its totient is φ = 324523192320.

The previous prime is 1217226758387. The next prime is 1217226758401. The reversal of 1217226758400 is 48576227121.

The square root of 1217226758400 is 1103280.

It is a perfect power (a square), and thus also a powerful number.

1217226758400 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 2 + 2 + 67 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 452035696896 + 765191061504 = 672336^2 + 874752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1217226758401) 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 26 ways as a sum of consecutive naturals, for example, 264784902 + ... + 264789498.

Almost surely, 2^{1217226758400} is an apocalyptic number.

1217226758400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1217226758400 is the 1103280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1217226758400

1217226758400 is an abundant number, since it is smaller than the sum of its proper divisors (3135580504131).

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

1217226758400 is an frugal number, since it uses more digits than its factorization.

1217226758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9226 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1217226758400 in words is "one trillion, two hundred seventeen billion, two hundred twenty-six million, seven hundred fifty-eight thousand, four hundred".