121890288 has 80 divisors (see below), whose sum is σ = 340985120. Its totient is φ = 37297152.

The previous prime is 121890281. The next prime is 121890299. The reversal of 121890288 is 882098121.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121890281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142470 + ... + 143322.

It is an arithmetic number, because the mean of its divisors is an integer number (4262314).

Almost surely, 2^121890288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121890288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170492560).

121890288 is an abundant number, since it is smaller than the sum of its proper divisors (219094832).

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

121890288 is a wasteful number, since it uses less digits than its factorization.

121890288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 121890288 is about 11040.3934712491. The cubic root of 121890288 is about 495.8188507755.

The spelling of 121890288 in words is "one hundred twenty-one million, eight hundred ninety thousand, two hundred eighty-eight".