121507597145088 has 3168 divisors, whose sum is σ = 478659075753600. Its totient is φ = 30315479040000.

The previous prime is 121507597145069. The next prime is 121507597145101. The reversal of 121507597145088 is 880541795705121.

121507597145088 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 0 + 7 + 59 + 71 + 4 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 678813391783 + ... + 678813391961.

Almost surely, 2^{121507597145088} is an apocalyptic number.

121507597145088 is a gapful number since it is divisible by the number (18) 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 121507597145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239329537876800).

121507597145088 is an abundant number, since it is smaller than the sum of its proper divisors (357151478608512).

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

121507597145088 is a wasteful number, since it uses less digits than its factorization.

121507597145088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 63.

The spelling of 121507597145088 in words is "one hundred twenty-one trillion, five hundred seven billion, five hundred ninety-seven million, one hundred forty-five thousand, eighty-eight".