121345687008 has 576 divisors, whose sum is σ = 448146457920. Its totient is φ = 31659393024.

The previous prime is 121345686983. The next prime is 121345687037. The reversal of 121345687008 is 800786543121.

121345687008 is a `hidden beast` number, since 1 + 2 + 13 + 4 + 568 + 70 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53384560 + ... + 53386832.

It is an arithmetic number, because the mean of its divisors is an integer number (778032045).

Almost surely, 2^121345687008 is an apocalyptic number.

121345687008 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 121345687008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224073228960).

121345687008 is an abundant number, since it is smaller than the sum of its proper divisors (326800770912).

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

121345687008 is a wasteful number, since it uses less digits than its factorization.

121345687008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 121345687008 in words is "one hundred twenty-one billion, three hundred forty-five million, six hundred eighty-seven thousand, eight".