121867869600 has 1080 divisors, whose sum is σ = 488090322720. Its totient is φ = 29505254400.

The previous prime is 121867869577. The next prime is 121867869637. The reversal of 121867869600 is 6968768121.

121867869600 is a `hidden beast` number, since 1 + 21 + 8 + 6 + 7 + 8 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 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 179 ways as a sum of consecutive naturals, for example, 1183183149 + ... + 1183183251.

It is an arithmetic number, because the mean of its divisors is an integer number (451935484).

Almost surely, 2^121867869600 is an apocalyptic number.

121867869600 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 121867869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244045161360).

121867869600 is an abundant number, since it is smaller than the sum of its proper divisors (366222453120).

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

121867869600 is a wasteful number, since it uses less digits than its factorization.

121867869600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 121867869600 in words is "one hundred twenty-one billion, eight hundred sixty-seven million, eight hundred sixty-nine thousand, six hundred".