121195440073008 has 1280 divisors, whose sum is σ = 428127798067200. Its totient is φ = 32084622028800.

The previous prime is 121195440072991. The next prime is 121195440073009. The reversal of 121195440073008 is 800370044591121.

121195440073008 is a `hidden beast` number, since 1 + 21 + 19 + 544 + 0 + 0 + 73 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (121195440073009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 63552930391 + ... + 63552932297.

It is an arithmetic number, because the mean of its divisors is an integer number (334474842240).

Almost surely, 2^{121195440073008} is an apocalyptic number.

121195440073008 is a gapful number since it is divisible by the number (18) 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 121195440073008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214063899033600).

121195440073008 is an abundant number, since it is smaller than the sum of its proper divisors (306932357994192).

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

121195440073008 is a wasteful number, since it uses less digits than its factorization.

121195440073008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 121195440073008 in words is "one hundred twenty-one trillion, one hundred ninety-five billion, four hundred forty million, seventy-three thousand, eight".