122781263436 has 144 divisors (see below), whose sum is σ = 341194037184. Its totient is φ = 36995332608.

The previous prime is 122781263431. The next prime is 122781263453. The reversal of 122781263436 is 634362187221.

122781263436 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 8 + 1 + 2 + 634 + 3 + 6 = 666.

122781263436 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122781263391 and 122781263400.

It is not an unprimeable number, because it can be changed into a prime (122781263431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13811385 + ... + 13820271.

It is an arithmetic number, because the mean of its divisors is an integer number (2369403036).

Almost surely, 2^122781263436 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 122781263436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170597018592).

122781263436 is an abundant number, since it is smaller than the sum of its proper divisors (218412773748).

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

122781263436 is a wasteful number, since it uses less digits than its factorization.

122781263436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9520 (or 9515 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 122781263436 in words is "one hundred twenty-two billion, seven hundred eighty-one million, two hundred sixty-three thousand, four hundred thirty-six".