122226641280 has 640 divisors, whose sum is σ = 474406732800. Its totient is φ = 29874769920.

The previous prime is 122226641263. The next prime is 122226641287. The reversal of 122226641280 is 82146622221.

122226641280 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 2 + 6 + 641 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122226641287) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30531759 + ... + 30535761.

It is an arithmetic number, because the mean of its divisors is an integer number (741260520).

Almost surely, 2^122226641280 is an apocalyptic number.

122226641280 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 122226641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237203366400).

122226641280 is an abundant number, since it is smaller than the sum of its proper divisors (352180091520).

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

122226641280 is a wasteful number, since it uses less digits than its factorization.

122226641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 122226641280 in words is "one hundred twenty-two billion, two hundred twenty-six million, six hundred forty-one thousand, two hundred eighty".