1122100002009 has 36 divisors (see below), whose sum is σ = 1888489602324. Its totient is φ = 640160623872.

The previous prime is 1122100001987. The next prime is 1122100002019. The reversal of 1122100002009 is 9002000012211.

It can be written as a sum of positive squares in 2 ways, for example, as 610503134409 + 511596867600 = 781347^2 + 715260^2 .

It is not a de Polignac number, because 1122100002009 - 2²¹ = 1122097904857 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1122100001982 and 1122100002000.

It is not an unprimeable number, because it can be changed into a prime (1122100002019) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1789852 + ... + 2334045.

It is an arithmetic number, because the mean of its divisors is an integer number (52458044509).

Almost surely, 2^{1122100002009} is an apocalyptic number.

It is an amenable number.

1122100002009 is a deficient number, since it is larger than the sum of its proper divisors (766389600315).

1122100002009 is a wasteful number, since it uses less digits than its factorization.

1122100002009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124534 (or 4124524 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 1122100002009 in words is "one trillion, one hundred twenty-two billion, one hundred million, two thousand, nine".