121854282076800 has 7680 divisors, whose sum is σ = 617060505600000. Its totient is φ = 23439377203200.

The previous prime is 121854282076789. The next prime is 121854282076811. The reversal of 121854282076800 is 8670282458121.

121854282076800 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 5 + 428 + 207 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121854282076789) and next prime (121854282076811).

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 680750179111 + ... + 680750179289.

It is an arithmetic number, because the mean of its divisors is an integer number (80346420000).

Almost surely, 2^{121854282076800} is an apocalyptic number.

121854282076800 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 121854282076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308530252800000).

121854282076800 is an abundant number, since it is smaller than the sum of its proper divisors (495206223523200).

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

121854282076800 is a wasteful number, since it uses less digits than its factorization.

121854282076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 121854282076800 in words is "one hundred twenty-one trillion, eight hundred fifty-four billion, two hundred eighty-two million, seventy-six thousand, eight hundred".