121601760 has 96 divisors (see below), whose sum is σ = 437778432. Its totient is φ = 27793920.

The previous prime is 121601743. The next prime is 121601783. The reversal of 121601760 is 67106121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121601760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14736 + ... + 21455.

It is an arithmetic number, because the mean of its divisors is an integer number (4560192).

Almost surely, 2^121601760 is an apocalyptic number.

121601760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121601760 is an abundant number, since it is smaller than the sum of its proper divisors (316176672).

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

121601760 is a wasteful number, since it uses less digits than its factorization.

121601760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36216 (or 36208 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 121601760 is about 11027.3188037709. The cubic root of 121601760 is about 495.4273220485.

Adding to 121601760 its reverse (67106121), we get a palindrome (188707881).

The spelling of 121601760 in words is "one hundred twenty-one million, six hundred one thousand, seven hundred sixty".