1216345600 has 60 divisors (see below), whose sum is σ = 3013622964. Its totient is φ = 486533120.

The previous prime is 1216345583. The next prime is 1216345621. The reversal of 1216345600 is 65436121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34714 + ... + 60313.

Almost surely, 2^1216345600 is an apocalyptic number.

1216345600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1216345600 is an abundant number, since it is smaller than the sum of its proper divisors (1797277364).

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

1216345600 is an frugal number, since it uses more digits than its factorization.

1216345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95055 (or 95034 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1216345600 is about 34876.1465761342. The cubic root of 1216345600 is about 1067.4617682889.

The spelling of 1216345600 in words is "one billion, two hundred sixteen million, three hundred forty-five thousand, six hundred".