121989963139200 has 576 divisors, whose sum is σ = 468824255827200. Its totient is φ = 30024941690880.

The previous prime is 121989963139181. The next prime is 121989963139229. The reversal of 121989963139200 is 2931369989121.

121989963139200 is a `hidden beast` number, since 1 + 21 + 9 + 8 + 9 + 96 + 313 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×121989963139200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5910642481 + ... + 5910663119.

It is an arithmetic number, because the mean of its divisors is an integer number (813930999700).

Almost surely, 2^{121989963139200} is an apocalyptic number.

121989963139200 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 121989963139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234412127913600).

121989963139200 is an abundant number, since it is smaller than the sum of its proper divisors (346834292688000).

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

121989963139200 is a wasteful number, since it uses less digits than its factorization.

121989963139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36469 (or 36449 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The spelling of 121989963139200 in words is "one hundred twenty-one trillion, nine hundred eighty-nine billion, nine hundred sixty-three million, one hundred thirty-nine thousand, two hundred".