1211009120 has 48 divisors (see below), whose sum is σ = 2870326368. Its totient is φ = 482826240.

The previous prime is 1211009119. The next prime is 1211009123. The reversal of 1211009120 is 219001121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211009123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37592 + ... + 61928.

It is an arithmetic number, because the mean of its divisors is an integer number (59798466).

Almost surely, 2^1211009120 is an apocalyptic number.

1211009120 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 1211009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435163184).

1211009120 is an abundant number, since it is smaller than the sum of its proper divisors (1659317248).

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

1211009120 is a wasteful number, since it uses less digits than its factorization.

1211009120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24663 (or 24655 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 1211009120 is about 34799.5563190107. The cubic root of 1211009120 is about 1065.8983860047.

The spelling of 1211009120 in words is "one billion, two hundred eleven million, nine thousand, one hundred twenty".