121506683967360 has 768 divisors, whose sum is σ = 458994792222720. Its totient is φ = 29485994803200.

The previous prime is 121506683967341. The next prime is 121506683967373. The reversal of 121506683967360 is 63769386605121.

121506683967360 is a `hidden beast` number, since 1 + 2 + 1 + 50 + 66 + 83 + 96 + 7 + 360 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3554576829 + ... + 3554611011.

It is an arithmetic number, because the mean of its divisors is an integer number (597649469040).

Almost surely, 2^{121506683967360} is an apocalyptic number.

121506683967360 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 121506683967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229497396111360).

121506683967360 is an abundant number, since it is smaller than the sum of its proper divisors (337488108255360).

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

121506683967360 is a wasteful number, since it uses less digits than its factorization.

121506683967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35427 (or 35412 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 121506683967360 in words is "one hundred twenty-one trillion, five hundred six billion, six hundred eighty-three million, nine hundred sixty-seven thousand, three hundred sixty".