121130681364 has 384 divisors, whose sum is σ = 400077619200. Its totient is φ = 30781296000.

The previous prime is 121130681311. The next prime is 121130681387. The reversal of 121130681364 is 463186031121.

121130681364 is a `hidden beast` number, since 1 + 211 + 3 + 0 + 6 + 81 + 364 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132964069 + ... + 132964979.

It is an arithmetic number, because the mean of its divisors is an integer number (1041868800).

Almost surely, 2^121130681364 is an apocalyptic number.

121130681364 is a gapful number since it is divisible by the number (14) 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 121130681364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200038809600).

121130681364 is an abundant number, since it is smaller than the sum of its proper divisors (278946937836).

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

121130681364 is a wasteful number, since it uses less digits than its factorization.

121130681364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1264 counting only the distinct ones).

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

The spelling of 121130681364 in words is "one hundred twenty-one billion, one hundred thirty million, six hundred eighty-one thousand, three hundred sixty-four".