121631120 has 40 divisors (see below), whose sum is σ = 304548216. Its totient is φ = 44909568.

The previous prime is 121631101. The next prime is 121631129. The reversal of 121631120 is 21136121.

It can be written as a sum of positive squares in 4 ways, for example, as 719104 + 120912016 = 848^2 + 10996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (121631129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57437 + ... + 59516.

Almost surely, 2^121631120 is an apocalyptic number.

121631120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121631120 is an abundant number, since it is smaller than the sum of its proper divisors (182917096).

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

121631120 is a wasteful number, since it uses less digits than its factorization.

121631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116979 (or 116973 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 121631120 is about 11028.6499627108. The cubic root of 121631120 is about 495.4671914706.

Adding to 121631120 its reverse (21136121), we get a palindrome (142767241).

The spelling of 121631120 in words is "one hundred twenty-one million, six hundred thirty-one thousand, one hundred twenty".