11921568481200 has 960 divisors, whose sum is σ = 47116984320000. Its totient is φ = 2516689612800.

The previous prime is 11921568481189. The next prime is 11921568481217. The reversal of 11921568481200 is 218486512911.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11921568481200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2988608806 + ... + 2988612794.

It is an arithmetic number, because the mean of its divisors is an integer number (49080192000).

Almost surely, 2^{11921568481200} is an apocalyptic number.

11921568481200 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 11921568481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23558492160000).

11921568481200 is an abundant number, since it is smaller than the sum of its proper divisors (35195415838800).

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

11921568481200 is a wasteful number, since it uses less digits than its factorization.

11921568481200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 11921568481200 in words is "eleven trillion, nine hundred twenty-one billion, five hundred sixty-eight million, four hundred eighty-one thousand, two hundred".