121762764500 has 96 divisors (see below), whose sum is σ = 286734817824. Its totient is φ = 44903808000.

The previous prime is 121762764491. The next prime is 121762764509. The reversal of 121762764500 is 5467267121.

It is an interprime number because it is at equal distance from previous prime (121762764491) and next prime (121762764509).

It can be written as a sum of positive squares in 16 ways, for example, as 113705188804 + 8057575696 = 337202^2 + 89764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121762764509) 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, 5533520 + ... + 5555480.

It is an arithmetic number, because the mean of its divisors is an integer number (2986821019).

Almost surely, 2^121762764500 is an apocalyptic number.

121762764500 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 121762764500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143367408912).

121762764500 is an abundant number, since it is smaller than the sum of its proper divisors (164972053324).

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

121762764500 is a wasteful number, since it uses less digits than its factorization.

121762764500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22846 (or 22834 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 121762764500 in words is "one hundred twenty-one billion, seven hundred sixty-two million, seven hundred sixty-four thousand, five hundred".