121988592 has 200 divisors, whose sum is σ = 396105600. Its totient is φ = 35925120.

The previous prime is 121988591. The next prime is 121988597. The reversal of 121988592 is 295889121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121988591) 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, 612909 + ... + 613107.

It is an arithmetic number, because the mean of its divisors is an integer number (1980528).

Almost surely, 2^121988592 is an apocalyptic number.

121988592 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 121988592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198052800).

121988592 is an abundant number, since it is smaller than the sum of its proper divisors (274117008).

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

121988592 is a wasteful number, since it uses less digits than its factorization.

121988592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 121988592 is about 11044.8445892190. The cubic root of 121988592 is about 495.9521068914.

The spelling of 121988592 in words is "one hundred twenty-one million, nine hundred eighty-eight thousand, five hundred ninety-two".