122347345967280 has 480 divisors, whose sum is σ = 471735691090560. Its totient is φ = 27836829204480.

The previous prime is 122347345967243. The next prime is 122347345967293. The reversal of 122347345967280 is 82769543743221.

It is a happy number.

122347345967280 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 4 + 7 + 34 + 596 + 7 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7055371410 + ... + 7055388750.

It is an arithmetic number, because the mean of its divisors is an integer number (982782689772).

It is a 1-persistent number, because it is pandigital, but 2⋅122347345967280 = 244694691934560 is not.

Almost surely, 2^{122347345967280} is an apocalyptic number.

122347345967280 is a gapful number since it is divisible by the number (10) 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 122347345967280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235867845545280).

122347345967280 is an abundant number, since it is smaller than the sum of its proper divisors (349388345123280).

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

122347345967280 is a wasteful number, since it uses less digits than its factorization.

122347345967280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23709 (or 23700 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 122347345967280 in words is "one hundred twenty-two trillion, three hundred forty-seven billion, three hundred forty-five million, nine hundred sixty-seven thousand, two hundred eighty".