121906360851408 has 160 divisors (see below), whose sum is σ = 423428256357120. Its totient is φ = 32781542400000.

The previous prime is 121906360851349. The next prime is 121906360851409. The reversal of 121906360851408 is 804158063609121.

It is a happy number.

121906360851408 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 0 + 63 + 60 + 8 + 514 + 0 + 8 = 666.

It is a super-3 number, since 3×121906360851408³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121906360851409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185623593 + ... + 1185726408.

It is an arithmetic number, because the mean of its divisors is an integer number (2646426602232).

Almost surely, 2^{121906360851408} is an apocalyptic number.

121906360851408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121906360851408 is an abundant number, since it is smaller than the sum of its proper divisors (301521895505712).

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

121906360851408 is a wasteful number, since it uses less digits than its factorization.

121906360851408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371350042 (or 2371350030 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 121906360851408 in words is "one hundred twenty-one trillion, nine hundred six billion, three hundred sixty million, eight hundred fifty-one thousand, four hundred eight".