1020030032000 has 128 divisors (see below), whose sum is σ = 2898342794880. Its totient is φ = 349724544000.

The previous prime is 1020030031997. The next prime is 1020030032027. The reversal of 1020030032000 is 2300300201.

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

It is a super-2 number, since 2×1020030032000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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, 4441706 + ... + 4665705.

It is an arithmetic number, because the mean of its divisors is an integer number (22643303085).

Almost surely, 2^{1020030032000} is an apocalyptic number.

1020030032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020030032000 is an abundant number, since it is smaller than the sum of its proper divisors (1878312762880).

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

1020030032000 is an frugal number, since it uses more digits than its factorization.

1020030032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9107447 (or 9107425 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 1020030032000 its reverse (2300300201), we get a palindrome (1022330332201).

The spelling of 1020030032000 in words is "one trillion, twenty billion, thirty million, thirty-two thousand".