11221323786240 has 384 divisors, whose sum is σ = 38257457172480. Its totient is φ = 2801343463424.

The previous prime is 11221323786157. The next prime is 11221323786293. The reversal of 11221323786240 is 4268732312211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 11221323786192 and 11221323786201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33039367 + ... + 33377273.

It is an arithmetic number, because the mean of its divisors is an integer number (99628794720).

Almost surely, 2^{11221323786240} is an apocalyptic number.

11221323786240 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 11221323786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19128728586240).

11221323786240 is an abundant number, since it is smaller than the sum of its proper divisors (27036133386240).

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

11221323786240 is a wasteful number, since it uses less digits than its factorization.

11221323786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338007 (or 337987 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 11221323786240 in words is "eleven trillion, two hundred twenty-one billion, three hundred twenty-three million, seven hundred eighty-six thousand, two hundred forty".