1205252330100 has 576 divisors, whose sum is σ = 4416913299456. Its totient is φ = 246918481920.

The previous prime is 1205252330089. The next prime is 1205252330123. The reversal of 1205252330100 is 10332525021.

It is a happy number.

It is a super-2 number, since 2×1205252330100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 689897427 + ... + 689899173.

It is an arithmetic number, because the mean of its divisors is an integer number (7668252256).

Almost surely, 2^{1205252330100} is an apocalyptic number.

1205252330100 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 1205252330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208456649728).

1205252330100 is an abundant number, since it is smaller than the sum of its proper divisors (3211660969356).

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

1205252330100 is a wasteful number, since it uses less digits than its factorization.

1205252330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 1205252330100 its reverse (10332525021), we get a palindrome (1215584855121).

The spelling of 1205252330100 in words is "one trillion, two hundred five billion, two hundred fifty-two million, three hundred thirty thousand, one hundred".