121248497664 has 540 divisors, whose sum is σ = 414028477044. Its totient is φ = 34087108608.

The previous prime is 121248497597. The next prime is 121248497687. The reversal of 121248497664 is 466794842121.

121248497664 is a `hidden beast` number, since 1 + 2 + 12 + 484 + 97 + 6 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85844312064 + 35404185600 = 292992^2 + 188160^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121248497664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 700858282 + ... + 700858454.

Almost surely, 2^121248497664 is an apocalyptic number.

121248497664 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 121248497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207014238522).

121248497664 is an abundant number, since it is smaller than the sum of its proper divisors (292779979380).

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

121248497664 is an equidigital number, since it uses as much as digits as its factorization.

121248497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 282 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 121248497664 in words is "one hundred twenty-one billion, two hundred forty-eight million, four hundred ninety-seven thousand, six hundred sixty-four".