104220321120 has 144 divisors (see below), whose sum is σ = 355958798832. Its totient is φ = 27768099840.

The previous prime is 104220321113. The next prime is 104220321131. The reversal of 104220321120 is 21123022401.

It is a happy number.

104220321120 is a `hidden beast` number, since 1 + 0 + 4 + 220 + 321 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 104220321093 and 104220321102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1669999 + ... + 1731281.

It is an arithmetic number, because the mean of its divisors is an integer number (2471936103).

Almost surely, 2^104220321120 is an apocalyptic number.

104220321120 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 104220321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177979399416).

104220321120 is an abundant number, since it is smaller than the sum of its proper divisors (251738477712).

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

104220321120 is a wasteful number, since it uses less digits than its factorization.

104220321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62485 (or 62474 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 104220321120 its reverse (21123022401), we get a palindrome (125343343521).

The spelling of 104220321120 in words is "one hundred four billion, two hundred twenty million, three hundred twenty-one thousand, one hundred twenty".