1172922940800 has 768 divisors, whose sum is σ = 4823866252800. Its totient is φ = 276160389120.

The previous prime is 1172922940771. The next prime is 1172922940829. The reversal of 1172922940800 is 80492292711.

1172922940800 is a `hidden beast` number, since 1 + 17 + 2 + 9 + 229 + 408 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1172922940771) and next prime (1172922940829).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25810899 + ... + 25856301.

It is an arithmetic number, because the mean of its divisors is an integer number (6281075850).

Almost surely, 2^{1172922940800} is an apocalyptic number.

1172922940800 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 1172922940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411933126400).

1172922940800 is an abundant number, since it is smaller than the sum of its proper divisors (3650943312000).

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

1172922940800 is a wasteful number, since it uses less digits than its factorization.

1172922940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45472 (or 45449 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1172922940800 in words is "one trillion, one hundred seventy-two billion, nine hundred twenty-two million, nine hundred forty thousand, eight hundred".