122527764500000 has 336 divisors, whose sum is σ = 305334894007080. Its totient is φ = 48395827200000.

The previous prime is 122527764499951. The next prime is 122527764500003. The reversal of 122527764500000 is 5467725221.

It can be written as a sum of positive squares in 28 ways, for example, as 66134693640976 + 56393070859024 = 8132324^2 + 7509532^2 .

It is a super-3 number, since 3×122527764500000³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122527764500003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15650496086 + ... + 15650503914.

Almost surely, 2^{122527764500000} is an apocalyptic number.

122527764500000 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 122527764500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152667447003540).

122527764500000 is an abundant number, since it is smaller than the sum of its proper divisors (182807129507080).

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

122527764500000 is an frugal number, since it uses more digits than its factorization.

122527764500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 122527764500000 in words is "one hundred twenty-two trillion, five hundred twenty-seven billion, seven hundred sixty-four million, five hundred thousand".