121010323968 has 240 divisors, whose sum is σ = 368992990080. Its totient is φ = 38115237888.

The previous prime is 121010323957. The next prime is 121010323969. The reversal of 121010323968 is 869323010121.

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

It is not an unprimeable number, because it can be changed into a prime (121010323969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6271071 + ... + 6290337.

It is an arithmetic number, because the mean of its divisors is an integer number (1537470792).

Almost surely, 2^121010323968 is an apocalyptic number.

121010323968 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 121010323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184496495040).

121010323968 is an abundant number, since it is smaller than the sum of its proper divisors (247982666112).

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

121010323968 is a wasteful number, since it uses less digits than its factorization.

121010323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19367 (or 19348 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 121010323968 in words is "one hundred twenty-one billion, ten million, three hundred twenty-three thousand, nine hundred sixty-eight".