121177152 has 84 divisors (see below), whose sum is σ = 351861120. Its totient is φ = 39866112.

The previous prime is 121177129. The next prime is 121177157. The reversal of 121177152 is 251771121.

It is a super-2 number, since 2×121177152² = 29367804333662208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121177157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44173 + ... + 46835.

Almost surely, 2^121177152 is an apocalyptic number.

121177152 is a gapful number since it is divisible by the number (12) 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 121177152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175930560).

121177152 is an abundant number, since it is smaller than the sum of its proper divisors (230683968).

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

121177152 is a wasteful number, since it uses less digits than its factorization.

121177152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2747 counting only the distinct ones).

The product of its digits is 980, while the sum is 27.

The square root of 121177152 is about 11008.0494184937. The cubic root of 121177152 is about 494.8500065895.

The spelling of 121177152 in words is "one hundred twenty-one million, one hundred seventy-seven thousand, one hundred fifty-two".