1201711680 has 336 divisors, whose sum is σ = 4596140160. Its totient is φ = 295446528.

The previous prime is 1201711661. The next prime is 1201711703. The reversal of 1201711680 is 861171021.

It is a super-2 number, since 2×1201711680² = 2888221923696844800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1459749 + ... + 1460571.

Almost surely, 2^1201711680 is an apocalyptic number.

1201711680 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 1201711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298070080).

1201711680 is an abundant number, since it is smaller than the sum of its proper divisors (3394428480).

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

1201711680 is a wasteful number, since it uses less digits than its factorization.

1201711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1201711680 is about 34665.7133202246. The cubic root of 1201711680 is about 1063.1635878668.

The spelling of 1201711680 in words is "one billion, two hundred one million, seven hundred eleven thousand, six hundred eighty".