122531434561536 has 768 divisors, whose sum is σ = 446543821624320. Its totient is φ = 29378000977920.

The previous prime is 122531434561493. The next prime is 122531434561537. The reversal of 122531434561536 is 635165434135221.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122531434561537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688727185 + ... + 688905071.

It is an arithmetic number, because the mean of its divisors is an integer number (581437267740).

Almost surely, 2^{122531434561536} is an apocalyptic number.

122531434561536 is a gapful number since it is divisible by the number (16) 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 122531434561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223271910812160).

122531434561536 is an abundant number, since it is smaller than the sum of its proper divisors (324012387062784).

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

122531434561536 is a wasteful number, since it uses less digits than its factorization.

122531434561536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177958 (or 177923 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 51.

Adding to 122531434561536 its reverse (635165434135221), we get a palindrome (757696868696757).

The spelling of 122531434561536 in words is "one hundred twenty-two trillion, five hundred thirty-one billion, four hundred thirty-four million, five hundred sixty-one thousand, five hundred thirty-six".