121793280 has 288 divisors, whose sum is σ = 466228224. Its totient is φ = 26492928.

The previous prime is 121793279. The next prime is 121793281. The reversal of 121793280 is 82397121.

It is an interprime number because it is at equal distance from previous prime (121793279) and next prime (121793281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121793281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618142 + ... + 618338.

It is an arithmetic number, because the mean of its divisors is an integer number (1618848).

Almost surely, 2^121793280 is an apocalyptic number.

121793280 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 121793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233114112).

121793280 is an abundant number, since it is smaller than the sum of its proper divisors (344434944).

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

121793280 is a wasteful number, since it uses less digits than its factorization.

121793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 121793280 is about 11035.9992750996. Note that the first 3 decimals coincide. The cubic root of 121793280 is about 495.6872811992.

The spelling of 121793280 in words is "one hundred twenty-one million, seven hundred ninety-three thousand, two hundred eighty".