121146480 has 360 divisors, whose sum is σ = 512654688. Its totient is φ = 24966144.

The previous prime is 121146463. The next prime is 121146491. The reversal of 121146480 is 84641121.

It is a happy number.

121146480 is a `hidden beast` number, since 1 + 2 + 1 + 14 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2817339 + ... + 2817381.

Almost surely, 2^121146480 is an apocalyptic number.

121146480 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 121146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256327344).

121146480 is an abundant number, since it is smaller than the sum of its proper divisors (391508208).

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

121146480 is a wasteful number, since it uses less digits than its factorization.

121146480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 121146480 is about 11006.6561679740. The cubic root of 121146480 is about 494.8082514128.

The spelling of 121146480 in words is "one hundred twenty-one million, one hundred forty-six thousand, four hundred eighty".