104111421120 has 1344 divisors, whose sum is σ = 461589120000. Its totient is φ = 22020139008.

The previous prime is 104111421107. The next prime is 104111421137. The reversal of 104111421120 is 21124111401.

104111421120 is a `hidden beast` number, since 1 + 0 + 411 + 142 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 104111421093 and 104111421102.

It is a congruent number.

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, 2421195819 + ... + 2421195861.

Almost surely, 2^104111421120 is an apocalyptic number.

104111421120 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 104111421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230794560000).

104111421120 is an abundant number, since it is smaller than the sum of its proper divisors (357477698880).

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

104111421120 is an equidigital number, since it uses as much as digits as its factorization.

104111421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 104111421120 its reverse (21124111401), we get a palindrome (125235532521).

The spelling of 104111421120 in words is "one hundred four billion, one hundred eleven million, four hundred twenty-one thousand, one hundred twenty".