1211058480 has 160 divisors (see below), whose sum is σ = 4027242240. Its totient is φ = 300119040.

The previous prime is 1211058469. The next prime is 1211058509. The reversal of 1211058480 is 848501121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239175 + ... + 244185.

It is an arithmetic number, because the mean of its divisors is an integer number (25170264).

Almost surely, 2^1211058480 is an apocalyptic number.

1211058480 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 1211058480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013621120).

1211058480 is an abundant number, since it is smaller than the sum of its proper divisors (2816183760).

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

1211058480 is a wasteful number, since it uses less digits than its factorization.

1211058480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 1211058480 is about 34800.2655162285. The cubic root of 1211058480 is about 1065.9128675994.

The spelling of 1211058480 in words is "one billion, two hundred eleven million, fifty-eight thousand, four hundred eighty".