121065126336 has 896 divisors, whose sum is σ = 468172800000. Its totient is φ = 30380313600.

The previous prime is 121065126277. The next prime is 121065126349. The reversal of 121065126336 is 633621560121.

121065126336 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 6 + 5 + 12 + 633 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121065126336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202111765 + ... + 202112363.

Almost surely, 2^121065126336 is an apocalyptic number.

121065126336 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 121065126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234086400000).

121065126336 is an abundant number, since it is smaller than the sum of its proper divisors (347107673664).

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

121065126336 is a wasteful number, since it uses less digits than its factorization.

121065126336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 121065126336 its reverse (633621560121), we get a palindrome (754686686457).

The spelling of 121065126336 in words is "one hundred twenty-one billion, sixty-five million, one hundred twenty-six thousand, three hundred thirty-six".