121221241393968 has 400 divisors, whose sum is σ = 353924853359616. Its totient is φ = 40054958576640.

The previous prime is 121221241393951. The next prime is 121221241393979. The reversal of 121221241393968 is 869393142122121.

121221241393968 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 2 + 1 + 241 + 3 + 9 + 396 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 109901396905 + ... + 109901398007.

Almost surely, 2^{121221241393968} is an apocalyptic number.

121221241393968 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 121221241393968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176962426679808).

121221241393968 is an abundant number, since it is smaller than the sum of its proper divisors (232703611965648).

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

121221241393968 is a wasteful number, since it uses less digits than its factorization.

121221241393968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2679 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 121221241393968 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred forty-one million, three hundred ninety-three thousand, nine hundred sixty-eight".