121429260288 has 1152 divisors, whose sum is σ = 463630003200. Its totient is φ = 29793189888.

The previous prime is 121429260283. The next prime is 121429260397. The reversal of 121429260288 is 882062924121.

121429260288 is a `hidden beast` number, since 1 + 2 + 14 + 29 + 2 + 602 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121429260283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1463003095 + ... + 1463003177.

It is an arithmetic number, because the mean of its divisors is an integer number (402456600).

Almost surely, 2^121429260288 is an apocalyptic number.

121429260288 is a gapful number since it is divisible by the number (18) 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 121429260288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231815001600).

121429260288 is an abundant number, since it is smaller than the sum of its proper divisors (342200742912).

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

121429260288 is a wasteful number, since it uses less digits than its factorization.

121429260288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 121429260288 in words is "one hundred twenty-one billion, four hundred twenty-nine million, two hundred sixty thousand, two hundred eighty-eight".