121076635680 has 2688 divisors, whose sum is σ = 619691337216. Its totient is φ = 21499084800.

The previous prime is 121076635661. The next prime is 121076635699. The reversal of 121076635680 is 86536670121.

121076635680 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 7 + 6 + 635 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121076635661) and next prime (121076635699).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1984862850 + ... + 1984862910.

It is an arithmetic number, because the mean of its divisors is an integer number (230539932).

Almost surely, 2^121076635680 is an apocalyptic number.

121076635680 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 121076635680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309845668608).

121076635680 is an abundant number, since it is smaller than the sum of its proper divisors (498614701536).

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

121076635680 is a wasteful number, since it uses less digits than its factorization.

121076635680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 121076635680 in words is "one hundred twenty-one billion, seventy-six million, six hundred thirty-five thousand, six hundred eighty".