121282295904 has 540 divisors, whose sum is σ = 442075872420. Its totient is φ = 31448229120.

The previous prime is 121282295891. The next prime is 121282295929. The reversal of 121282295904 is 409592282121.

121282295904 is a `hidden beast` number, since 12 + 1 + 28 + 2 + 29 + 590 + 4 = 666.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 121282295904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 206613499 + ... + 206614085.

It is an arithmetic number, because the mean of its divisors is an integer number (818659023).

Almost surely, 2^121282295904 is an apocalyptic number.

121282295904 is a gapful number since it is divisible by the number (14) 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 121282295904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221037936210).

121282295904 is an abundant number, since it is smaller than the sum of its proper divisors (320793576516).

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

121282295904 is an equidigital number, since it uses as much as digits as its factorization.

121282295904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 12128 and 2295904, that added together give a palindrome (2308032).

The spelling of 121282295904 in words is "one hundred twenty-one billion, two hundred eighty-two million, two hundred ninety-five thousand, nine hundred four".