21114011120 has 80 divisors (see below), whose sum is σ = 49707756000. Its totient is φ = 8339595264.

The previous prime is 21114011119. The next prime is 21114011137. The reversal of 21114011120 is 2111041112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21114011095 and 21114011104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7182611 + ... + 7185549.

It is an arithmetic number, because the mean of its divisors is an integer number (621346950).

Almost surely, 2^21114011120 is an apocalyptic number.

21114011120 is a gapful number since it is divisible by the number (20) 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 21114011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24853878000).

21114011120 is an abundant number, since it is smaller than the sum of its proper divisors (28593744880).

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

21114011120 is a wasteful number, since it uses less digits than its factorization.

21114011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21114011120 its reverse (2111041112), we get a palindrome (23225052232).

The spelling of 21114011120 in words is "twenty-one billion, one hundred fourteen million, eleven thousand, one hundred twenty".