1099121409 has 27 divisors (see below), whose sum is σ = 1631748963. Its totient is φ = 712922112.

The previous prime is 1099121407. The next prime is 1099121411. The reversal of 1099121409 is 9041219901.

1099121409 = 1³ + 2³ + ... + 257³.

The square root of 1099121409 is 33153.

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

It is an interprime number because it is at equal distance from previous prime (1099121407) and next prime (1099121411).

It can be written as a sum of positive squares in only one way, i.e., 1082081025 + 17040384 = 32895^2 + 4128^2 .

It is not a de Polignac number, because 1099121409 - 2¹ = 1099121407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1099121407) 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, 4276609 + ... + 4276865.

Almost surely, 2^1099121409 is an apocalyptic number.

1099121409 is the 33153-rd square number.

1099121409 is the 16577-th centered octagonal number.

It is an amenable number.

1099121409 is a deficient number, since it is larger than the sum of its proper divisors (532627554).

1099121409 is an frugal number, since it uses more digits than its factorization.

1099121409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The cubic root of 1099121409 is about 1032.0052083070.

Multiplying 1099121409 by its sum of digits (36), we get a square (39568370724 = 198918²).

It can be divided in two parts, 10991 and 21409, that added together give a square (32400 = 180²).

The spelling of 1099121409 in words is "one billion, ninety-nine million, one hundred twenty-one thousand, four hundred nine".