121102130062368 has 1536 divisors, whose sum is σ = 474786385920000. Its totient is φ = 29128202256384.

The previous prime is 121102130062271. The next prime is 121102130062391. The reversal of 121102130062368 is 863260031201121.

121102130062368 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 0 + 21 + 3 + 0 + 0 + 623 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15292599913 + ... + 15292607831.

It is an arithmetic number, because the mean of its divisors is an integer number (309105720000).

Almost surely, 2^{121102130062368} is an apocalyptic number.

121102130062368 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 121102130062368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237393192960000).

121102130062368 is an abundant number, since it is smaller than the sum of its proper divisors (353684255857632).

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

121102130062368 is a wasteful number, since it uses less digits than its factorization.

121102130062368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8359 (or 8345 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 121102130062368 its reverse (863260031201121), we get a palindrome (984362161263489).

The spelling of 121102130062368 in words is "one hundred twenty-one trillion, one hundred two billion, one hundred thirty million, sixty-two thousand, three hundred sixty-eight".