122761182152 has 24 divisors (see below), whose sum is σ = 267757171110. Its totient is φ = 52611935040.

The previous prime is 122761182143. The next prime is 122761182163. The reversal of 122761182152 is 251281167221.

122761182152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 120829931236 + 1931250916 = 347606^2 + 43946^2 .

It is a super-3 number, since 3×122761182152³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 156582749 + ... + 156583532.

Almost surely, 2^122761182152 is an apocalyptic number.

It is an amenable number.

122761182152 is an abundant number, since it is smaller than the sum of its proper divisors (144995988958).

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

122761182152 is a wasteful number, since it uses less digits than its factorization.

122761182152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313166301 (or 313166290 counting only the distinct ones).

The product of its digits is 26880, while the sum is 38.

The spelling of 122761182152 in words is "one hundred twenty-two billion, seven hundred sixty-one million, one hundred eighty-two thousand, one hundred fifty-two".