121505334720 has 1344 divisors, whose sum is σ = 518372628480. Its totient is φ = 23551672320.

The previous prime is 121505334719. The next prime is 121505334721. The reversal of 121505334720 is 27433505121.

It is an interprime number because it is at equal distance from previous prime (121505334719) and next prime (121505334721).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121505334721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1365228436 + ... + 1365228524.

It is an arithmetic number, because the mean of its divisors is an integer number (385693920).

Almost surely, 2^121505334720 is an apocalyptic number.

121505334720 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 121505334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259186314240).

121505334720 is an abundant number, since it is smaller than the sum of its proper divisors (396867293760).

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

121505334720 is a wasteful number, since it uses less digits than its factorization.

121505334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

Adding to 121505334720 its reverse (27433505121), we get a palindrome (148938839841).

The spelling of 121505334720 in words is "one hundred twenty-one billion, five hundred five million, three hundred thirty-four thousand, seven hundred twenty".