121110903648 has 384 divisors, whose sum is σ = 409473792000. Its totient is φ = 34111881216.

The previous prime is 121110903643. The next prime is 121110903659. The reversal of 121110903648 is 846309011121.

121110903648 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 0 + 9 + 0 + 3 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121110903643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269734528 + ... + 269734976.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338000).

Almost surely, 2^121110903648 is an apocalyptic number.

121110903648 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 121110903648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896000).

121110903648 is an abundant number, since it is smaller than the sum of its proper divisors (288362888352).

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

121110903648 is a wasteful number, since it uses less digits than its factorization.

121110903648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 121110903648 its reverse (846309011121), we get a palindrome (967419914769).

The spelling of 121110903648 in words is "one hundred twenty-one billion, one hundred ten million, nine hundred three thousand, six hundred forty-eight".