1030034205200 has 240 divisors, whose sum is σ = 3322617922176. Its totient is φ = 296353382400.

The previous prime is 1030034205157. The next prime is 1030034205203. The reversal of 1030034205200 is 25024300301.

It is a happy number.

1030034205200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1030034205200³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1030034205203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885857 + ... + 1686656.

Almost surely, 2^{1030034205200} is an apocalyptic number.

1030034205200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030034205200 is an abundant number, since it is smaller than the sum of its proper divisors (2292583716976).

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

1030034205200 is a wasteful number, since it uses less digits than its factorization.

1030034205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572562 (or 2572551 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 1030034205200 its reverse (25024300301), we get a palindrome (1055058505501).

The spelling of 1030034205200 in words is "one trillion, thirty billion, thirty-four million, two hundred five thousand, two hundred".