121175664377240 has 256 divisors, whose sum is σ = 302079870720000. Its totient is φ = 43380787968000.

The previous prime is 121175664377237. The next prime is 121175664377263. The reversal of 121175664377240 is 42773466571121.

It is a super-2 number, since 2×121175664377240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6142620257 + ... + 6142639983.

It is an arithmetic number, because the mean of its divisors is an integer number (1179999495000).

Almost surely, 2^{121175664377240} is an apocalyptic number.

121175664377240 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 121175664377240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151039935360000).

121175664377240 is an abundant number, since it is smaller than the sum of its proper divisors (180904206342760).

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

121175664377240 is a wasteful number, since it uses less digits than its factorization.

121175664377240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20626 (or 20622 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 56.

The spelling of 121175664377240 in words is "one hundred twenty-one trillion, one hundred seventy-five billion, six hundred sixty-four million, three hundred seventy-seven thousand, two hundred forty".