121619464817004 has 480 divisors, whose sum is σ = 412797444820992. Its totient is φ = 30299899392000.

The previous prime is 121619464817003. The next prime is 121619464817009. The reversal of 121619464817004 is 400718464916121.

121619464817004 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 1 + 9 + 464 + 8 + 170 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (121619464817003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 86697024 + ... + 88088664.

Almost surely, 2^{121619464817004} is an apocalyptic number.

121619464817004 is a gapful number since it is divisible by the number (14) 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 121619464817004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206398722410496).

121619464817004 is an abundant number, since it is smaller than the sum of its proper divisors (291177980003988).

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

121619464817004 is a wasteful number, since it uses less digits than its factorization.

121619464817004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391819 (or 1391808 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 121619464817004 in words is "one hundred twenty-one trillion, six hundred nineteen billion, four hundred sixty-four million, eight hundred seventeen thousand, four".