122066261352 has 144 divisors (see below), whose sum is σ = 386818043040. Its totient is φ = 34064743104.

The previous prime is 122066261329. The next prime is 122066261381. The reversal of 122066261352 is 253162660221.

122066261352 is a `hidden beast` number, since 1 + 2 + 20 + 6 + 626 + 1 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 866403 + ... + 997389.

It is an arithmetic number, because the mean of its divisors is an integer number (2686236410).

Almost surely, 2^122066261352 is an apocalyptic number.

122066261352 is a gapful number since it is divisible by the number (12) 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 122066261352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193409021520).

122066261352 is an abundant number, since it is smaller than the sum of its proper divisors (264751781688).

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

122066261352 is a wasteful number, since it uses less digits than its factorization.

122066261352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131092 (or 131042 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 122066261352 in words is "one hundred twenty-two billion, sixty-six million, two hundred sixty-one thousand, three hundred fifty-two".