1201117680 has 640 divisors, whose sum is σ = 5156812800. Its totient is φ = 250822656.

The previous prime is 1201117669. The next prime is 1201117703. The reversal of 1201117680 is 867111021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10629304 + ... + 10629416.

It is an arithmetic number, because the mean of its divisors is an integer number (8057520).

Almost surely, 2^1201117680 is an apocalyptic number.

1201117680 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 1201117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578406400).

1201117680 is an abundant number, since it is smaller than the sum of its proper divisors (3955695120).

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

1201117680 is a wasteful number, since it uses less digits than its factorization.

1201117680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

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

The square root of 1201117680 is about 34657.1447179366. The cubic root of 1201117680 is about 1062.9883868702.

The spelling of 1201117680 in words is "one billion, two hundred one million, one hundred seventeen thousand, six hundred eighty".