121144630320 has 800 divisors, whose sum is σ = 505747630080. Its totient is φ = 26276659200.

The previous prime is 121144630309. The next prime is 121144630339. The reversal of 121144630320 is 23036441121.

It is a happy number.

121144630320 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 4 + 630 + 3 + 20 = 666.

It is a super-3 number, since 3×121144630320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 157534896 + ... + 157535664.

Almost surely, 2^121144630320 is an apocalyptic number.

121144630320 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 121144630320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252873815040).

121144630320 is an abundant number, since it is smaller than the sum of its proper divisors (384602999760).

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

121144630320 is a wasteful number, since it uses less digits than its factorization.

121144630320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 121144630320 in words is "one hundred twenty-one billion, one hundred forty-four million, six hundred thirty thousand, three hundred twenty".