1214541216 has 288 divisors, whose sum is σ = 4180595328. Its totient is φ = 339655680.

The previous prime is 1214541173. The next prime is 1214541239. The reversal of 1214541216 is 6121454121.

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

It is a super-2 number, since 2×1214541216² = 2950220730725517312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1214541216.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2884686 + ... + 2885106.

It is an arithmetic number, because the mean of its divisors is an integer number (14515956).

Almost surely, 2^1214541216 is an apocalyptic number.

1214541216 is a gapful number since it is divisible by the number (16) 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 1214541216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090297664).

1214541216 is an abundant number, since it is smaller than the sum of its proper divisors (2966054112).

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

1214541216 is an equidigital number, since it uses as much as digits as its factorization.

1214541216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 486 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1214541216 is about 34850.2685212037. The cubic root of 1214541216 is about 1066.9336661474.

Adding to 1214541216 its reverse (6121454121), we get a palindrome (7335995337).

It can be divided in two parts, 12145 and 41216, that added together give a square (53361 = 231²).

The spelling of 1214541216 in words is "one billion, two hundred fourteen million, five hundred forty-one thousand, two hundred sixteen".