1211248480 has 96 divisors (see below), whose sum is σ = 3243996000. Its totient is φ = 423677952.

The previous prime is 1211248447. The next prime is 1211248501. The reversal of 1211248480 is 848421121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24196 + ... + 54844.

It is an arithmetic number, because the mean of its divisors is an integer number (33791625).

Almost surely, 2^1211248480 is an apocalyptic number.

1211248480 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 1211248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621998000).

1211248480 is an abundant number, since it is smaller than the sum of its proper divisors (2032747520).

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

1211248480 is a wasteful number, since it uses less digits than its factorization.

1211248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30696 (or 30688 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 1211248480 is about 34802.9952733957. The cubic root of 1211248480 is about 1065.9686075046.

The spelling of 1211248480 in words is "one billion, two hundred eleven million, two hundred forty-eight thousand, four hundred eighty".