1214013216 has 192 divisors, whose sum is σ = 3590770176. Its totient is φ = 356659200.

The previous prime is 1214013211. The next prime is 1214013217. The reversal of 1214013216 is 6123104121.

It is a super-3 number, since 3×1214013216³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1214013192 and 1214013201.

It is not an unprimeable number, because it can be changed into a prime (1214013211) 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 31 ways as a sum of consecutive naturals, for example, 2816521 + ... + 2816951.

It is an arithmetic number, because the mean of its divisors is an integer number (18701928).

Almost surely, 2^1214013216 is an apocalyptic number.

1214013216 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 1214013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795385088).

1214013216 is an abundant number, since it is smaller than the sum of its proper divisors (2376756960).

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

1214013216 is a wasteful number, since it uses less digits than its factorization.

1214013216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1214013216 is about 34842.6924332779. The cubic root of 1214013216 is about 1066.7790336485.

Adding to 1214013216 its reverse (6123104121), we get a palindrome (7337117337).

The spelling of 1214013216 in words is "one billion, two hundred fourteen million, thirteen thousand, two hundred sixteen".