1100129082240 has 256 divisors, whose sum is σ = 3625173921600. Its totient is φ = 283584430080.

The previous prime is 1100129082181. The next prime is 1100129082271. The reversal of 1100129082240 is 422809210011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1100129082198 and 1100129082207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8516374 + ... + 8644586.

Almost surely, 2^{1100129082240} is an apocalyptic number.

1100129082240 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 1100129082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812586960800).

1100129082240 is an abundant number, since it is smaller than the sum of its proper divisors (2525044839360).

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

1100129082240 is a wasteful number, since it uses less digits than its factorization.

1100129082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128385 (or 128373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 1100129082240 in words is "one trillion, one hundred billion, one hundred twenty-nine million, eighty-two thousand, two hundred forty".