121141440 has 224 divisors, whose sum is σ = 488655360. Its totient is φ = 27675648.

The previous prime is 121141417. The next prime is 121141477. The reversal of 121141440 is 44141121.

121141440 is a `hidden beast` number, since 1 + 211 + 414 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×121141440³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 59479 + ... + 61481.

Almost surely, 2^121141440 is an apocalyptic number.

121141440 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 121141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244327680).

121141440 is an abundant number, since it is smaller than the sum of its proper divisors (367513920).

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

121141440 is a wasteful number, since it uses less digits than its factorization.

121141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 121141440 is about 11006.4272132241. The cubic root of 121141440 is about 494.8013895594.

Adding to 121141440 its reverse (44141121), we get a palindrome (165282561).

The spelling of 121141440 in words is "one hundred twenty-one million, one hundred forty-one thousand, four hundred forty".