1004131121000 has 256 divisors, whose sum is σ = 2725008998400. Its totient is φ = 339222048000.

The previous prime is 1004131120999. The next prime is 1004131121003. The reversal of 1004131121000 is 1211314001.

It is a super-3 number, since 3×1004131121000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1004131121003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143055491 + ... + 143062509.

It is an arithmetic number, because the mean of its divisors is an integer number (10644566400).

Almost surely, 2^{1004131121000} is an apocalyptic number.

1004131121000 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 1004131121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362504499200).

1004131121000 is an abundant number, since it is smaller than the sum of its proper divisors (1720877877400).

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

1004131121000 is a wasteful number, since it uses less digits than its factorization.

1004131121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7345 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1004131121000 its reverse (1211314001), we get a palindrome (1005342435001).

The spelling of 1004131121000 in words is "one trillion, four billion, one hundred thirty-one million, one hundred twenty-one thousand".