121254266880 has 288 divisors, whose sum is σ = 442370073600. Its totient is φ = 30632214528.

The previous prime is 121254266879. The next prime is 121254266909. The reversal of 121254266880 is 88662452121.

121254266880 is a `hidden beast` number, since 1 + 21 + 2 + 542 + 6 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1716417 + ... + 1785663.

It is an arithmetic number, because the mean of its divisors is an integer number (1536007200).

Almost surely, 2^121254266880 is an apocalyptic number.

121254266880 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 121254266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221185036800).

121254266880 is an abundant number, since it is smaller than the sum of its proper divisors (321115806720).

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

121254266880 is a wasteful number, since it uses less digits than its factorization.

121254266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69299 (or 69276 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 121254266880 in words is "one hundred twenty-one billion, two hundred fifty-four million, two hundred sixty-six thousand, eight hundred eighty".