121936775773824 has 1152 divisors, whose sum is σ = 418259323722240. Its totient is φ = 35267792947200.

The previous prime is 121936775773793. The next prime is 121936775773933. The reversal of 121936775773824 is 428377577639121.

It is a happy number.

121936775773824 is a `hidden beast` number, since 1 + 2 + 19 + 3 + 6 + 7 + 7 + 577 + 38 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×121936775773824² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49427147439 + ... + 49427149905.

It is an arithmetic number, because the mean of its divisors is an integer number (363072329620).

Almost surely, 2^{121936775773824} 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 121936775773824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209129661861120).

121936775773824 is an abundant number, since it is smaller than the sum of its proper divisors (296322547948416).

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

121936775773824 is a wasteful number, since it uses less digits than its factorization.

121936775773824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3077 counting only the distinct ones).

The product of its digits is 746807040, while the sum is 72.

The spelling of 121936775773824 in words is "one hundred twenty-one trillion, nine hundred thirty-six billion, seven hundred seventy-five million, seven hundred seventy-three thousand, eight hundred twenty-four".