121144375296 has 288 divisors, whose sum is σ = 417267002880. Its totient is φ = 33106968576.

The previous prime is 121144375259. The next prime is 121144375397. The reversal of 121144375296 is 692573441121.

121144375296 is a `hidden beast` number, since 1 + 2 + 114 + 4 + 3 + 7 + 529 + 6 = 666.

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

It is a super-3 number, since 3×121144375296³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2947141 + ... + 2987963.

It is an arithmetic number, because the mean of its divisors is an integer number (1448843760).

Almost surely, 2^121144375296 is an apocalyptic number.

121144375296 is a gapful number since it is divisible by the number (16) 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 121144375296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208633501440).

121144375296 is an abundant number, since it is smaller than the sum of its proper divisors (296122627584).

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

121144375296 is a wasteful number, since it uses less digits than its factorization.

121144375296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40881 (or 40858 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 121144375296 in words is "one hundred twenty-one billion, one hundred forty-four million, three hundred seventy-five thousand, two hundred ninety-six".