121603680 has 240 divisors, whose sum is σ = 468723024. Its totient is φ = 29445120.

The previous prime is 121603679. The next prime is 121603687. The reversal of 121603680 is 86306121.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121603687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142134 + ... + 142986.

Almost surely, 2^121603680 is an apocalyptic number.

121603680 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 121603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234361512).

121603680 is an abundant number, since it is smaller than the sum of its proper divisors (347119344).

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

121603680 is a wasteful number, since it uses less digits than its factorization.

121603680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 121603680 is about 11027.4058599473. The cubic root of 121603680 is about 495.4299295093.

The spelling of 121603680 in words is "one hundred twenty-one million, six hundred three thousand, six hundred eighty".