11114004124020 has 192 divisors, whose sum is σ = 35702508441600. Its totient is φ = 2530527187968.

The previous prime is 11114004123923. The next prime is 11114004124031. The reversal of 11114004124020 is 2042140041111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114923727 + ... + 115020393.

It is an arithmetic number, because the mean of its divisors is an integer number (185950564800).

Almost surely, 2^{11114004124020} is an apocalyptic number.

11114004124020 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 11114004124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17851254220800).

11114004124020 is an abundant number, since it is smaller than the sum of its proper divisors (24588504317580).

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

11114004124020 is a wasteful number, since it uses less digits than its factorization.

11114004124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97742 (or 97740 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 11114004124020 its reverse (2042140041111), we get a palindrome (13156144165131).

The spelling of 11114004124020 in words is "eleven trillion, one hundred fourteen billion, four million, one hundred twenty-four thousand, twenty".