122611453664 has 192 divisors, whose sum is σ = 296472960000. Its totient is φ = 48768749568.

The previous prime is 122611453663. The next prime is 122611453721. The reversal of 122611453664 is 466354116221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122611453663) 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, 95120732 + ... + 95122020.

It is an arithmetic number, because the mean of its divisors is an integer number (1544130000).

Almost surely, 2^122611453664 is an apocalyptic number.

122611453664 is a gapful number since it is divisible by the number (14) 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 122611453664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148236480000).

122611453664 is an abundant number, since it is smaller than the sum of its proper divisors (173861506336).

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

122611453664 is a wasteful number, since it uses less digits than its factorization.

122611453664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1857 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

Adding to 122611453664 its reverse (466354116221), we get a palindrome (588965569885).

The spelling of 122611453664 in words is "one hundred twenty-two billion, six hundred eleven million, four hundred fifty-three thousand, six hundred sixty-four".