122742007650 has 72 divisors (see below), whose sum is σ = 330339079044. Its totient is φ = 32674406400.

The previous prime is 122742007637. The next prime is 122742007651. The reversal of 122742007650 is 56700247221.

It is a happy number.

122742007650 is a `hidden beast` number, since 1 + 227 + 420 + 0 + 7 + 6 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 45467459361 + 77274548289 = 213231^2 + 277983^2 .

It is not an unprimeable number, because it can be changed into a prime (122742007651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23290 + ... + 496010.

Almost surely, 2^122742007650 is an apocalyptic number.

122742007650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122742007650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165169539522).

122742007650 is an abundant number, since it is smaller than the sum of its proper divisors (207597071394).

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

122742007650 is a wasteful number, since it uses less digits than its factorization.

122742007650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473316 (or 473308 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 122742007650 in words is "one hundred twenty-two billion, seven hundred forty-two million, seven thousand, six hundred fifty".