121848749556480 has 1008 divisors, whose sum is σ = 465385402429920. Its totient is φ = 30465063124992.

The previous prime is 121848749556467. The next prime is 121848749556533. The reversal of 121848749556480 is 84655947848121.

121848749556480 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 4 + 8 + 7 + 4 + 95 + 56 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121848749556399 and 121848749556408.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1719704734 + ... + 1719775586.

It is an arithmetic number, because the mean of its divisors is an integer number (461691867490).

Almost surely, 2^{121848749556480} is an apocalyptic number.

121848749556480 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 121848749556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232692701214960).

121848749556480 is an abundant number, since it is smaller than the sum of its proper divisors (343536652873440).

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

121848749556480 is an frugal number, since it uses more digits than its factorization.

121848749556480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71008 (or 70979 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 121848749556480 in words is "one hundred twenty-one trillion, eight hundred forty-eight billion, seven hundred forty-nine million, five hundred fifty-six thousand, four hundred eighty".