121784040 has 256 divisors, whose sum is σ = 471744000. Its totient is φ = 27371520.

The previous prime is 121783997. The next prime is 121784051. The reversal of 121784040 is 40487121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121783995 and 121784013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 672750 + ... + 672930.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^121784040 is an apocalyptic number.

121784040 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 121784040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

121784040 is an abundant number, since it is smaller than the sum of its proper divisors (349959960).

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

121784040 is a wasteful number, since it uses less digits than its factorization.

121784040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 121784040 is about 11035.5806371935. The cubic root of 121784040 is about 495.6747455697.

The spelling of 121784040 in words is "one hundred twenty-one million, seven hundred eighty-four thousand, forty".