10248129612900 has 243 divisors, whose sum is σ = 34128320191329. Its totient is φ = 2571669826560.

The previous prime is 10248129612893. The next prime is 10248129612901. The reversal of 10248129612900 is 921692184201.

It is a happy number.

The square root of 10248129612900 is 3201270.

It is a perfect power (a square), and thus also a powerful number.

10248129612900 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 8 + 1 + 29 + 612 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 38415204 + 10248091197696 = 6198^2 + 3201264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10248129612901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1632644562 + ... + 1632650838.

Almost surely, 2^{10248129612900} is an apocalyptic number.

10248129612900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10248129612900 is the 3201270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10248129612900

10248129612900 is an abundant number, since it is smaller than the sum of its proper divisors (23880190578429).

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

10248129612900 is an equidigital number, since it uses as much as digits as its factorization.

10248129612900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12608 (or 6304 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10248129612900 in words is "ten trillion, two hundred forty-eight billion, one hundred twenty-nine million, six hundred twelve thousand, nine hundred".