122046748065528 has 256 divisors, whose sum is σ = 361830570393600. Its totient is φ = 33818664015360.

The previous prime is 122046748065509. The next prime is 122046748065587. The reversal of 122046748065528 is 825560847640221.

It is a Cunningham number, because it is equal to 11047477²-1.

It is a super-2 number, since 2×122046748065528² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287021925 + ... + 287446827.

It is an arithmetic number, because the mean of its divisors is an integer number (1413400665600).

Almost surely, 2^{122046748065528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122046748065528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180915285196800).

122046748065528 is an abundant number, since it is smaller than the sum of its proper divisors (239783822328072).

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

122046748065528 is a wasteful number, since it uses less digits than its factorization.

122046748065528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425722 (or 425718 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 60.

The spelling of 122046748065528 in words is "one hundred twenty-two trillion, forty-six billion, seven hundred forty-eight million, sixty-five thousand, five hundred twenty-eight".