1240082688100 has 81 divisors (see below), whose sum is σ = 2840548818891. Its totient is φ = 469845892800.

The previous prime is 1240082688071. The next prime is 1240082688101. The reversal of 1240082688100 is 18862800421.

The square root of 1240082688100 is 1113590.

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

It can be written as a sum of positive squares in 4 ways, for example, as 44366681956 + 1195716006144 = 210634^2 + 1093488^2 .

It is a super-2 number, since 2×1240082688100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1240082688101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 211579170 + ... + 211585030.

Almost surely, 2^{1240082688100} is an apocalyptic number.

1240082688100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1240082688100 is the 1113590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240082688100

1240082688100 is an abundant number, since it is smaller than the sum of its proper divisors (1600466130791).

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

1240082688100 is an frugal number, since it uses more digits than its factorization.

1240082688100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11774 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 1240082688100 in words is "one trillion, two hundred forty billion, eighty-two million, six hundred eighty-eight thousand, one hundred".