121007075328 has 312 divisors, whose sum is σ = 359745574656. Its totient is φ = 39171686400.

The previous prime is 121007075311. The next prime is 121007075381. The reversal of 121007075328 is 823570700121.

121007075328 is a `hidden beast` number, since 12 + 100 + 7 + 0 + 7 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121007075292 and 121007075301.

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, 365580123 + ... + 365580453.

It is an arithmetic number, because the mean of its divisors is an integer number (1153030688).

Almost surely, 2^121007075328 is an apocalyptic number.

121007075328 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 121007075328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179872787328).

121007075328 is an abundant number, since it is smaller than the sum of its proper divisors (238738499328).

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

121007075328 is a wasteful number, since it uses less digits than its factorization.

121007075328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 121007075328 its reverse (823570700121), we get a palindrome (944577775449).

The spelling of 121007075328 in words is "one hundred twenty-one billion, seven million, seventy-five thousand, three hundred twenty-eight".