121426602960 has 1280 divisors, whose sum is σ = 478769356800. Its totient is φ = 25138003968.

The previous prime is 121426602929. The next prime is 121426602961. The reversal of 121426602960 is 69206624121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121426602961) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 1462971079 + ... + 1462971161.

It is an arithmetic number, because the mean of its divisors is an integer number (374038560).

Almost surely, 2^121426602960 is an apocalyptic number.

121426602960 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 121426602960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239384678400).

121426602960 is an abundant number, since it is smaller than the sum of its proper divisors (357342753840).

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

121426602960 is a wasteful number, since it uses less digits than its factorization.

121426602960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 121426602960 in words is "one hundred twenty-one billion, four hundred twenty-six million, six hundred two thousand, nine hundred sixty".