1000033000120 has 128 divisors (see below), whose sum is σ = 2831024908800. Its totient is φ = 308838873600.

The previous prime is 1000033000117. The next prime is 1000033000177. The reversal of 1000033000120 is 210003300001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1000033000097 and 1000033000106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153666 + ... + 1825105.

It is an arithmetic number, because the mean of its divisors is an integer number (22117382100).

Almost surely, 2^{1000033000120} is an apocalyptic number.

1000033000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000033000120 is an abundant number, since it is smaller than the sum of its proper divisors (1830991908680).

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

1000033000120 is a wasteful number, since it uses less digits than its factorization.

1000033000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978909 (or 2978905 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1000033000120 its reverse (210003300001), we get a palindrome (1210036300121).

The spelling of 1000033000120 in words is "one trillion, thirty-three million, one hundred twenty", and thus it is an aban number.