121292239968 has 192 divisors, whose sum is σ = 360296294400. Its totient is φ = 39689717760.

The previous prime is 121292239963. The next prime is 121292240021. The reversal of 121292239968 is 869932292121.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121292239963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14657080 + ... + 14665352.

It is an arithmetic number, because the mean of its divisors is an integer number (1876543200).

Almost surely, 2^121292239968 is an apocalyptic number.

121292239968 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 121292239968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180148147200).

121292239968 is an abundant number, since it is smaller than the sum of its proper divisors (239004054432).

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

121292239968 is a wasteful number, since it uses less digits than its factorization.

121292239968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602 (or 8588 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 121292239968 in words is "one hundred twenty-one billion, two hundred ninety-two million, two hundred thirty-nine thousand, nine hundred sixty-eight".