1030122133200 has 300 divisors, whose sum is σ = 3914499863340. Its totient is φ = 258540318720.

The previous prime is 1030122133189. The next prime is 1030122133211. The reversal of 1030122133200 is 23312210301.

1030122133200 is a `hidden beast` number, since 10 + 301 + 2 + 21 + 332 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1030122133189) and next prime (1030122133211).

It can be written as a sum of positive squares in 6 ways, for example, as 123985677456 + 906136455744 = 352116^2 + 951912^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1030122133200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 384315 + ... + 1485914.

Almost surely, 2^{1030122133200} is an apocalyptic number.

1030122133200 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 1030122133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957249931670).

1030122133200 is an abundant number, since it is smaller than the sum of its proper divisors (2884377730140).

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

1030122133200 is a wasteful number, since it uses less digits than its factorization.

1030122133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870276 (or 1870256 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1030122133200 its reverse (23312210301), we get a palindrome (1053434343501).

The spelling of 1030122133200 in words is "one trillion, thirty billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred".