121952861760 has 112 divisors (see below), whose sum is σ = 388629948672. Its totient is φ = 32400691200.

The previous prime is 121952861747. The next prime is 121952861791. The reversal of 121952861760 is 67168259121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25780 + ... + 494540.

It is an arithmetic number, because the mean of its divisors is an integer number (3469910256).

Almost surely, 2^121952861760 is an apocalyptic number.

121952861760 is a gapful number since it is divisible by the number (10) 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 121952861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194314974336).

121952861760 is an abundant number, since it is smaller than the sum of its proper divisors (266677086912).

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

121952861760 is a wasteful number, since it uses less digits than its factorization.

121952861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469052 (or 469042 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 121952861760 in words is "one hundred twenty-one billion, nine hundred fifty-two million, eight hundred sixty-one thousand, seven hundred sixty".