1210315680 has 432 divisors, whose sum is σ = 5092181640. Its totient is φ = 260112384.

The previous prime is 1210315661. The next prime is 1210315699. The reversal of 1210315680 is 865130121.

It is an interprime number because it is at equal distance from previous prime (1210315661) and next prime (1210315699).

It can be written as a sum of positive squares in 4 ways, for example, as 1013530896 + 196784784 = 31836^2 + 14028^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1199016 + ... + 1200024.

Almost surely, 2^1210315680 is an apocalyptic number.

1210315680 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 1210315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546090820).

1210315680 is an abundant number, since it is smaller than the sum of its proper divisors (3881865960).

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

1210315680 is a wasteful number, since it uses less digits than its factorization.

1210315680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1210315680 is about 34789.5915468980. The cubic root of 1210315680 is about 1065.6948979414.

The spelling of 1210315680 in words is "one billion, two hundred ten million, three hundred fifteen thousand, six hundred eighty".