122520260016 has 320 divisors, whose sum is σ = 440072309760. Its totient is φ = 31706173440.

The previous prime is 122520260011. The next prime is 122520260029. The reversal of 122520260016 is 610062025221.

122520260016 is a `hidden beast` number, since 1 + 2 + 2 + 52 + 0 + 2 + 600 + 1 + 6 = 666.

It is a super-2 number, since 2×122520260016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122520260011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9207480 + ... + 9220776.

It is an arithmetic number, because the mean of its divisors is an integer number (1375225968).

Almost surely, 2^122520260016 is an apocalyptic number.

122520260016 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 122520260016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220036154880).

122520260016 is an abundant number, since it is smaller than the sum of its proper divisors (317552049744).

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

122520260016 is a wasteful number, since it uses less digits than its factorization.

122520260016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13609 (or 13597 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 122520260016 its reverse (610062025221), we get a palindrome (732582285237).

The spelling of 122520260016 in words is "one hundred twenty-two billion, five hundred twenty million, two hundred sixty thousand, sixteen".