1004121342000 has 240 divisors, whose sum is σ = 4008070377792. Its totient is φ = 229513420800.

The previous prime is 1004121341963. The next prime is 1004121342043. The reversal of 1004121342000 is 2431214001.

1004121342000 is a `hidden beast` number, since 100 + 412 + 134 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3858609 + ... + 4110608.

Almost surely, 2^{1004121342000} is an apocalyptic number.

1004121342000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004121342000 is an abundant number, since it is smaller than the sum of its proper divisors (3003949035792).

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

1004121342000 is a wasteful number, since it uses less digits than its factorization.

1004121342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969253 (or 7969234 counting only the distinct ones).

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

Adding to 1004121342000 its reverse (2431214001), we get a palindrome (1006552556001).

The spelling of 1004121342000 in words is "one trillion, four billion, one hundred twenty-one million, three hundred forty-two thousand".