121196160 has 192 divisors, whose sum is σ = 427475880. Its totient is φ = 31629312.

The previous prime is 121196149. The next prime is 121196161. The reversal of 121196160 is 61691121.

It can be written as a sum of positive squares in 4 ways, for example, as 113039424 + 8156736 = 10632^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121196161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305082 + ... + 305478.

Almost surely, 2^121196160 is an apocalyptic number.

121196160 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 121196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213737940).

121196160 is an abundant number, since it is smaller than the sum of its proper divisors (306279720).

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

121196160 is a wasteful number, since it uses less digits than its factorization.

121196160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 121196160 is about 11008.9127528562. The cubic root of 121196160 is about 494.8758795009.

The spelling of 121196160 in words is "one hundred twenty-one million, one hundred ninety-six thousand, one hundred sixty".