121385880 has 384 divisors, whose sum is σ = 512179200. Its totient is φ = 24192000.

The previous prime is 121385879. The next prime is 121385893. The reversal of 121385880 is 88583121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803805 + ... + 803955.

It is an arithmetic number, because the mean of its divisors is an integer number (1333800).

Almost surely, 2^121385880 is an apocalyptic number.

121385880 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 121385880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256089600).

121385880 is an abundant number, since it is smaller than the sum of its proper divisors (390793320).

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

121385880 is a wasteful number, since it uses less digits than its factorization.

121385880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 121385880 is about 11017.5260380904. The cubic root of 121385880 is about 495.1339704720.

It can be divided in two parts, 121385 and 880, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 121385880 in words is "one hundred twenty-one million, three hundred eighty-five thousand, eight hundred eighty".