11120022414000 has 640 divisors, whose sum is σ = 40754508687360. Its totient is φ = 2897588736000.

The previous prime is 11120022413989. The next prime is 11120022414031. The reversal of 11120022414000 is 41422002111.

11120022414000 is a `hidden beast` number, since 1 + 1 + 1 + 20 + 0 + 2 + 241 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 433229167 + ... + 433254833.

It is an arithmetic number, because the mean of its divisors is an integer number (63678919824).

Almost surely, 2^{11120022414000} is an apocalyptic number.

11120022414000 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 11120022414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20377254343680).

11120022414000 is an abundant number, since it is smaller than the sum of its proper divisors (29634486273360).

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

11120022414000 is a wasteful number, since it uses less digits than its factorization.

11120022414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25883 (or 25861 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11120022414000 its reverse (41422002111), we get a palindrome (11161444416111).

The spelling of 11120022414000 in words is "eleven trillion, one hundred twenty billion, twenty-two million, four hundred fourteen thousand".