1216319104 has 192 divisors, whose sum is σ = 3281886720. Its totient is φ = 436930560.

The previous prime is 1216319023. The next prime is 1216319129. The reversal of 1216319104 is 4019136121.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1408977 + ... + 1409839.

It is an arithmetic number, because the mean of its divisors is an integer number (17093160).

Almost surely, 2^1216319104 is an apocalyptic number.

1216319104 is a gapful number since it is divisible by the number (14) 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 1216319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640943360).

1216319104 is an abundant number, since it is smaller than the sum of its proper divisors (2065567616).

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

1216319104 is a wasteful number, since it uses less digits than its factorization.

1216319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1216319104 is about 34875.7667155863. The cubic root of 1216319104 is about 1067.4540172922.

The spelling of 1216319104 in words is "one billion, two hundred sixteen million, three hundred nineteen thousand, one hundred four".