20124319104 has 288 divisors, whose sum is σ = 62154181440. Its totient is φ = 6483317760.

The previous prime is 20124319087. The next prime is 20124319133. The reversal of 20124319104 is 40191342102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26033662 + ... + 26034434.

It is an arithmetic number, because the mean of its divisors is an integer number (215813130).

Almost surely, 2^20124319104 is an apocalyptic number.

20124319104 is a gapful number since it is divisible by the number (24) 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 20124319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31077090720).

20124319104 is an abundant number, since it is smaller than the sum of its proper divisors (42029862336).

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

20124319104 is an frugal number, since it uses more digits than its factorization.

20124319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20124319104 in words is "twenty billion, one hundred twenty-four million, three hundred nineteen thousand, one hundred four".