1004121232000 has 128 divisors (see below), whose sum is σ = 2497828366800. Its totient is φ = 401434214400.

The previous prime is 1004121231907. The next prime is 1004121232057. The reversal of 1004121232000 is 2321214001.

It can be written as a sum of positive squares in 8 ways, for example, as 116892874816 + 887228357184 = 341896^2 + 941928^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31872256 + ... + 31903744.

Almost surely, 2^{1004121232000} is an apocalyptic number.

1004121232000 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 1004121232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248914183400).

1004121232000 is an abundant number, since it is smaller than the sum of its proper divisors (1493707134800).

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

1004121232000 is an equidigital number, since it uses as much as digits as its factorization.

1004121232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33511 (or 33489 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1004121232000 its reverse (2321214001), we get a palindrome (1006442446001).

The spelling of 1004121232000 in words is "one trillion, four billion, one hundred twenty-one million, two hundred thirty-two thousand".