1000233404120 has 64 divisors (see below), whose sum is σ = 2289682736640. Its totient is φ = 393144998400.

The previous prime is 1000233404117. The next prime is 1000233404123. The reversal of 1000233404120 is 214043320001.

It is an interprime number because it is at equal distance from previous prime (1000233404117) and next prime (1000233404123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1000233404092 and 1000233404101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000233404123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2269385 + ... + 2674055.

It is an arithmetic number, because the mean of its divisors is an integer number (35776292760).

Almost surely, 2^{1000233404120} is an apocalyptic number.

1000233404120 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 1000233404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144841368320).

1000233404120 is an abundant number, since it is smaller than the sum of its proper divisors (1289449332520).

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

1000233404120 is a wasteful number, since it uses less digits than its factorization.

1000233404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405756 (or 405752 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1000233404120 its reverse (214043320001), we get a palindrome (1214276724121).

The spelling of 1000233404120 in words is "one trillion, two hundred thirty-three million, four hundred four thousand, one hundred twenty".