121459440 has 80 divisors (see below), whose sum is σ = 378074016. Its totient is φ = 32256000.

The previous prime is 121459433. The next prime is 121459489. The reversal of 121459440 is 44954121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×121459440² = 29504791130227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 121459398 and 121459407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66540 + ... + 68340.

Almost surely, 2^121459440 is an apocalyptic number.

121459440 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 121459440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189037008).

121459440 is an abundant number, since it is smaller than the sum of its proper divisors (256614576).

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

121459440 is a wasteful number, since it uses less digits than its factorization.

121459440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 121459440 is about 11020.8638499893. The cubic root of 121459440 is about 495.2339675504.

The spelling of 121459440 in words is "one hundred twenty-one million, four hundred fifty-nine thousand, four hundred forty".