121462440 has 256 divisors, whose sum is σ = 435456000. Its totient is φ = 26772480.

The previous prime is 121462417. The next prime is 121462447. The reversal of 121462440 is 44264121.

It is a happy number.

It is a Cunningham number, because it is equal to 11021²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121462440.

It is not an unprimeable number, because it can be changed into a prime (121462447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727237 + ... + 727403.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^121462440 is an apocalyptic number.

121462440 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 121462440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

121462440 is an abundant number, since it is smaller than the sum of its proper divisors (313993560).

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

121462440 is a wasteful number, since it uses less digits than its factorization.

121462440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 121462440 is about 11020.9999546321. Note that the first 4 decimals coincide. The cubic root of 121462440 is about 495.2380448777.

The spelling of 121462440 in words is "one hundred twenty-one million, four hundred sixty-two thousand, four hundred forty".