1100122208640 has 768 divisors, whose sum is σ = 4693017813120. Its totient is φ = 231245217792.

The previous prime is 1100122208609. The next prime is 1100122208687. The reversal of 1100122208640 is 468022210011.

1100122208640 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 12 + 2 + 2 + 0 + 8 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145188532 + ... + 145196108.

Almost surely, 2^{1100122208640} is an apocalyptic number.

1100122208640 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 1100122208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346508906560).

1100122208640 is an abundant number, since it is smaller than the sum of its proper divisors (3592895604480).

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

1100122208640 is a wasteful number, since it uses less digits than its factorization.

1100122208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7899 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1100122208640 its reverse (468022210011), we get a palindrome (1568144418651).

The spelling of 1100122208640 in words is "one trillion, one hundred billion, one hundred twenty-two million, two hundred eight thousand, six hundred forty".