1211614560 has 288 divisors, whose sum is σ = 4532280480. Its totient is φ = 292921344.

The previous prime is 1211614541. The next prime is 1211614567. The reversal of 1211614560 is 654161121.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211614567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103932 + ... + 1105028.

It is an arithmetic number, because the mean of its divisors is an integer number (15737085).

Almost surely, 2^1211614560 is an apocalyptic number.

1211614560 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 1211614560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266140240).

1211614560 is an abundant number, since it is smaller than the sum of its proper divisors (3320665920).

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

1211614560 is a wasteful number, since it uses less digits than its factorization.

1211614560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1211614560 is about 34808.2541935099. The cubic root of 1211614560 is about 1066.0759872006.

Adding to 1211614560 its reverse (654161121), we get a palindrome (1865775681).

The spelling of 1211614560 in words is "one billion, two hundred eleven million, six hundred fourteen thousand, five hundred sixty".