121505305166000 has 160 divisors (see below), whose sum is σ = 336152391120000. Its totient is φ = 41611671552000.

The previous prime is 121505305165991. The next prime is 121505305166027. The reversal of 121505305166000 is 661503505121.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7408376 + ... + 17259624.

It is an arithmetic number, because the mean of its divisors is an integer number (2100952444500).

Almost surely, 2^{121505305166000} is an apocalyptic number.

121505305166000 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 121505305166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168076195560000).

121505305166000 is an abundant number, since it is smaller than the sum of its proper divisors (214647085954000).

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

121505305166000 is an equidigital number, since it uses as much as digits as its factorization.

121505305166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9852160 (or 9852144 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 121505305166000 in words is "one hundred twenty-one trillion, five hundred five billion, three hundred five million, one hundred sixty-six thousand".