1122807370100 has 144 divisors (see below), whose sum is σ = 2645365404528. Its totient is φ = 411195432960.

The previous prime is 1122807370039. The next prime is 1122807370121. The reversal of 1122807370100 is 10737082211.

It can be written as a sum of positive squares in 24 ways, for example, as 793374992656 + 329432377444 = 890716^2 + 573962^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121026662 + ... + 121035938.

It is an arithmetic number, because the mean of its divisors is an integer number (18370593087).

Almost surely, 2^{1122807370100} is an apocalyptic number.

1122807370100 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 1122807370100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322682702264).

1122807370100 is an abundant number, since it is smaller than the sum of its proper divisors (1522558034428).

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

1122807370100 is a wasteful number, since it uses less digits than its factorization.

1122807370100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10054 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The spelling of 1122807370100 in words is "one trillion, one hundred twenty-two billion, eight hundred seven million, three hundred seventy thousand, one hundred".