1216460100 has 144 divisors (see below), whose sum is σ = 3740385600. Its totient is φ = 304657920.

The previous prime is 1216460083. The next prime is 1216460117. The reversal of 1216460100 is 10646121.

It is an interprime number because it is at equal distance from previous prime (1216460083) and next prime (1216460117).

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 47 ways as a sum of consecutive naturals, for example, 320011 + ... + 323789.

It is an arithmetic number, because the mean of its divisors is an integer number (25974900).

Almost surely, 2^1216460100 is an apocalyptic number.

1216460100 is a gapful number since it is divisible by the number (10) 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 1216460100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870192800).

1216460100 is an abundant number, since it is smaller than the sum of its proper divisors (2523925500).

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

1216460100 is a wasteful number, since it uses less digits than its factorization.

1216460100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3855 counting only the distinct ones).

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

The square root of 1216460100 is about 34877.7880605981. The cubic root of 1216460100 is about 1067.4952622064.

The spelling of 1216460100 in words is "one billion, two hundred sixteen million, four hundred sixty thousand, one hundred".