119904291247104 has 1584 divisors, whose sum is σ = 443593993265280. Its totient is φ = 30520100782080.

The previous prime is 119904291247033. The next prime is 119904291247123. The reversal of 119904291247104 is 401742192409911.

119904291247104 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 0 + 4 + 291 + 247 + 104 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52844552082 + ... + 52844554350.

It is an arithmetic number, because the mean of its divisors is an integer number (280046712920).

Almost surely, 2^{119904291247104} is an apocalyptic number.

119904291247104 is a gapful number since it is divisible by the number (14) 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 119904291247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221796996632640).

119904291247104 is an abundant number, since it is smaller than the sum of its proper divisors (323689702018176).

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

119904291247104 is a wasteful number, since it uses less digits than its factorization.

119904291247104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 119904291247104 in words is "one hundred nineteen trillion, nine hundred four billion, two hundred ninety-one million, two hundred forty-seven thousand, one hundred four".