1216461000 has 64 divisors (see below), whose sum is σ = 3795367680. Its totient is φ = 324388800.

The previous prime is 1216460981. The next prime is 1216461011. The reversal of 1216461000 is 1646121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199744 + ... + 205743.

It is an arithmetic number, because the mean of its divisors is an integer number (59302620).

Almost surely, 2^1216461000 is an apocalyptic number.

1216461000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1216461000 is an abundant number, since it is smaller than the sum of its proper divisors (2578906680).

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

1216461000 is a wasteful number, since it uses less digits than its factorization.

1216461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405511 (or 405497 counting only the distinct ones).

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

The square root of 1216461000 is about 34877.8009627901. The cubic root of 1216461000 is about 1067.4955254691.

The spelling of 1216461000 in words is "one billion, two hundred sixteen million, four hundred sixty-one thousand".