121284080480400 has 240 divisors, whose sum is σ = 399457911890688. Its totient is φ = 31437144576000.

The previous prime is 121284080480309. The next prime is 121284080480449. The reversal of 121284080480400 is 4084080482121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×121284080480400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8785002 + ... + 17881398.

Almost surely, 2^{121284080480400} is an apocalyptic number.

121284080480400 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 121284080480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199728955945344).

121284080480400 is an abundant number, since it is smaller than the sum of its proper divisors (278173831410288).

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

121284080480400 is a wasteful number, since it uses less digits than its factorization.

121284080480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9096730 (or 9096719 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The spelling of 121284080480400 in words is "one hundred twenty-one trillion, two hundred eighty-four billion, eighty million, four hundred eighty thousand, four hundred".