1216258680 has 256 divisors, whose sum is σ = 4531322880. Its totient is φ = 254306304.

The previous prime is 1216258679. The next prime is 1216258691. The reversal of 1216258680 is 868526121.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1386402 + ... + 1387278.

It is an arithmetic number, because the mean of its divisors is an integer number (17700480).

Almost surely, 2^1216258680 is an apocalyptic number.

1216258680 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 1216258680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265661440).

1216258680 is an abundant number, since it is smaller than the sum of its proper divisors (3315064200).

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

1216258680 is a wasteful number, since it uses less digits than its factorization.

1216258680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1216258680 is about 34874.9004299654. The cubic root of 1216258680 is about 1067.4363407605.

It can be divided in two parts, 121625 and 8680, that added together give a triangular number (130305 = T₅₁₀).

The spelling of 1216258680 in words is "one billion, two hundred sixteen million, two hundred fifty-eight thousand, six hundred eighty".