121479282828288 has 5280 divisors, whose sum is σ = 514206391615488. Its totient is φ = 28142302003200.

The previous prime is 121479282828227. The next prime is 121479282828317. The reversal of 121479282828288 is 882828282974121.

121479282828288 is a `hidden beast` number, since 1 + 2 + 1 + 47 + 9 + 28 + 282 + 8 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1179410512845 + ... + 1179410512947.

Almost surely, 2^{121479282828288} is an apocalyptic number.

121479282828288 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 121479282828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257103195807744).

121479282828288 is an abundant number, since it is smaller than the sum of its proper divisors (392727108787200).

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

121479282828288 is a wasteful number, since it uses less digits than its factorization.

121479282828288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 217 counting only the distinct ones).

The product of its digits is 264241152, while the sum is 72.

The spelling of 121479282828288 in words is "one hundred twenty-one trillion, four hundred seventy-nine billion, two hundred eighty-two million, eight hundred twenty-eight thousand, two hundred eighty-eight".