1172222553600 has 720 divisors, whose sum is σ = 4860275520672. Its totient is φ = 264252948480.

The previous prime is 1172222553599. The next prime is 1172222553611. The reversal of 1172222553600 is 63552222711.

1172222553600 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 22 + 25 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 58857244 + ... + 58877156.

Almost surely, 2^{1172222553600} is an apocalyptic number.

1172222553600 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 1172222553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430137760336).

1172222553600 is an abundant number, since it is smaller than the sum of its proper divisors (3688052967072).

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

1172222553600 is a wasteful number, since it uses less digits than its factorization.

1172222553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20027 (or 20003 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1172222553600 in words is "one trillion, one hundred seventy-two billion, two hundred twenty-two million, five hundred fifty-three thousand, six hundred".