121009656768 has 1512 divisors, whose sum is σ = 482055897456. Its totient is φ = 26568622080.

The previous prime is 121009656767. The next prime is 121009656787. The reversal of 121009656768 is 867656900121.

It is a super-2 number, since 2×121009656768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 121009656768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121009656767) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3270531246 + ... + 3270531282.

It is an arithmetic number, because the mean of its divisors is an integer number (318820038).

Almost surely, 2^121009656768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121009656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241027948728).

121009656768 is an abundant number, since it is smaller than the sum of its proper divisors (361046240688).

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

121009656768 is a wasteful number, since it uses less digits than its factorization.

121009656768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

It can be divided in two parts, 121009 and 656768, that added together give a palindrome (777777).

The spelling of 121009656768 in words is "one hundred twenty-one billion, nine million, six hundred fifty-six thousand, seven hundred sixty-eight".