121868181504 has 448 divisors, whose sum is σ = 388788249600. Its totient is φ = 37604818944.

The previous prime is 121868181493. The next prime is 121868181509. The reversal of 121868181504 is 405181868121.

121868181504 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 68 + 1 + 81 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121868181504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121868181509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197517004 + ... + 197517620.

Almost surely, 2^121868181504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121868181504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194394124800).

121868181504 is an abundant number, since it is smaller than the sum of its proper divisors (266920068096).

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

121868181504 is an equidigital number, since it uses as much as digits as its factorization.

121868181504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 121868181504 in words is "one hundred twenty-one billion, eight hundred sixty-eight million, one hundred eighty-one thousand, five hundred four".