1211172480000 has 3520 divisors, whose sum is σ = 5893473484800. Its totient is φ = 238878720000.

The previous prime is 1211172479999. The next prime is 1211172480059. The reversal of 1211172480000 is 842711121.

1211172480000 is a `hidden beast` number, since 1 + 2 + 11 + 172 + 480 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 319 ways as a sum of consecutive naturals, for example, 39070079985 + ... + 39070080015.

It is an arithmetic number, because the mean of its divisors is an integer number (1674282240).

Almost surely, 2^{1211172480000} is an apocalyptic number.

1211172480000 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 1211172480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946736742400).

1211172480000 is an abundant number, since it is smaller than the sum of its proper divisors (4682301004800).

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

1211172480000 is a wasteful number, since it uses less digits than its factorization.

1211172480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 1211172480000 in words is "one trillion, two hundred eleven billion, one hundred seventy-two million, four hundred eighty thousand".