1234334005000 has 160 divisors (see below), whose sum is σ = 2935579188960. Its totient is φ = 486319680000.

The previous prime is 1234334004971. The next prime is 1234334005007. The reversal of 1234334005000 is 5004334321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1234334005007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 345653215 + ... + 345656785.

It is an arithmetic number, because the mean of its divisors is an integer number (18347369931).

Almost surely, 2^{1234334005000} is an apocalyptic number.

1234334005000 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 1234334005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467789594480).

1234334005000 is an abundant number, since it is smaller than the sum of its proper divisors (1701245183960).

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

1234334005000 is an equidigital number, since it uses as much as digits as its factorization.

1234334005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 1234334005000 its reverse (5004334321), we get a palindrome (1239338339321).

The spelling of 1234334005000 in words is "one trillion, two hundred thirty-four billion, three hundred thirty-four million, five thousand".