121248574642080 has 288 divisors, whose sum is σ = 427399837444944. Its totient is φ = 31277242810368.

The previous prime is 121248574642067. The next prime is 121248574642087. The reversal of 121248574642080 is 80246475842121.

121248574642080 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 4 + 8 + 574 + 64 + 2 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 92973023631504 + 28275551010576 = 9642252^2 + 5317476^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (121248574642087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2640312 + ... + 15794568.

Almost surely, 2^{121248574642080} is an apocalyptic number.

121248574642080 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 121248574642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213699918722472).

121248574642080 is an abundant number, since it is smaller than the sum of its proper divisors (306151262802864).

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

121248574642080 is a wasteful number, since it uses less digits than its factorization.

121248574642080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13154488 (or 13154477 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 121248574642080 in words is "one hundred twenty-one trillion, two hundred forty-eight billion, five hundred seventy-four million, six hundred forty-two thousand, eighty".