121806867087360 has 2880 divisors, whose sum is σ = 567466979788800. Its totient is φ = 24340403847168.

The previous prime is 121806867087343. The next prime is 121806867087391. The reversal of 121806867087360 is 63780768608121.

121806867087360 is a `hidden beast` number, since 1 + 2 + 1 + 80 + 68 + 67 + 0 + 87 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34418440471 + ... + 34418444009.

It is an arithmetic number, because the mean of its divisors is an integer number (197037145760).

Almost surely, 2^{121806867087360} is an apocalyptic number.

121806867087360 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 121806867087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283733489894400).

121806867087360 is an abundant number, since it is smaller than the sum of its proper divisors (445660112701440).

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

121806867087360 is an equidigital number, since it uses as much as digits as its factorization.

121806867087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 121806867087360 in words is "one hundred twenty-one trillion, eight hundred six billion, eight hundred sixty-seven million, eighty-seven thousand, three hundred sixty".