121289245983360 has 6144 divisors, whose sum is σ = 589339337932800. Its totient is φ = 23126135537664.

The previous prime is 121289245983343. The next prime is 121289245983371. The reversal of 121289245983360 is 63389542982121.

121289245983360 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 8 + 9 + 2 + 4 + 598 + 3 + 36 + 0 = 666.

It is a super-2 number, since 2×121289245983360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 726282909997 + ... + 726282910163.

It is an arithmetic number, because the mean of its divisors is an integer number (95921116200).

Almost surely, 2^{121289245983360} is an apocalyptic number.

121289245983360 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 121289245983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294669668966400).

121289245983360 is an abundant number, since it is smaller than the sum of its proper divisors (468050091949440).

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

121289245983360 is a wasteful number, since it uses less digits than its factorization.

121289245983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 121289245983360 in words is "one hundred twenty-one trillion, two hundred eighty-nine billion, two hundred forty-five million, nine hundred eighty-three thousand, three hundred sixty".