121163435467920 has 800 divisors, whose sum is σ = 448496030416896. Its totient is φ = 30264888729600.

The previous prime is 121163435467891. The next prime is 121163435467933. The reversal of 121163435467920 is 29764534361121.

121163435467920 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 6 + 3 + 4 + 3 + 546 + 7 + 92 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1045924242 + ... + 1046040078.

Almost surely, 2^{121163435467920} is an apocalyptic number.

121163435467920 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 121163435467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224248015208448).

121163435467920 is an abundant number, since it is smaller than the sum of its proper divisors (327332594948976).

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

121163435467920 is a wasteful number, since it uses less digits than its factorization.

121163435467920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116061 (or 116046 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 121163435467920 in words is "one hundred twenty-one trillion, one hundred sixty-three billion, four hundred thirty-five million, four hundred sixty-seven thousand, nine hundred twenty".