1201081680 has 120 divisors (see below), whose sum is σ = 4042160928. Its totient is φ = 319611648.

The previous prime is 1201081669. The next prime is 1201081691. The reversal of 1201081680 is 861801021.

It is an interprime number because it is at equal distance from previous prime (1201081669) and next prime (1201081691).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403879 + ... + 406841.

Almost surely, 2^1201081680 is an apocalyptic number.

1201081680 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 1201081680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021080464).

1201081680 is an abundant number, since it is smaller than the sum of its proper divisors (2841079248).

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

1201081680 is a wasteful number, since it uses less digits than its factorization.

1201081680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1201081680 is about 34656.6253406185. The cubic root of 1201081680 is about 1062.9777667717.

The spelling of 1201081680 in words is "one billion, two hundred one million, eighty-one thousand, six hundred eighty".