12148640540100 has 243 divisors, whose sum is σ = 38324322391719. Its totient is φ = 3218919724800.

The previous prime is 12148640540087. The next prime is 12148640540107. The reversal of 12148640540100 is 104504684121.

The square root of 12148640540100 is 3485490.

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

12148640540100 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 8 + 6 + 4 + 0 + 540 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1525160780676 + 10623479759424 = 1234974^2 + 3259368^2 .

It is a super-2 number, since 2×12148640540100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12148640540107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23317927840 + ... + 23317928360.

Almost surely, 2^{12148640540100} is an apocalyptic number.

12148640540100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12148640540100 is the 3485490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12148640540100

12148640540100 is an abundant number, since it is smaller than the sum of its proper divisors (26175681851619).

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

12148640540100 is an equidigital number, since it uses as much as digits as its factorization.

12148640540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 12148640540100 by its sum of digits (36), we get a square (437351059443600 = 20912940²).

12148640540100 divided by its sum of digits (36) gives a square (337462237225 = 580915²).

The spelling of 12148640540100 in words is "twelve trillion, one hundred forty-eight billion, six hundred forty million, five hundred forty thousand, one hundred".