122784901250 has 270 divisors, whose sum is σ = 273894715479. Its totient is φ = 41229760000.

The previous prime is 122784901231. The next prime is 122784901259. The reversal of 122784901250 is 52109487221.

122784901250 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 23 ways, for example, as 32994179449 + 89790721801 = 181643^2 + 299651^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247775.

It is a super-2 number, since 2×122784901250² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122784901198 and 122784901207.

It is not an unprimeable number, because it can be changed into a prime (122784901259) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2316696224 + ... + 2316696276.

Almost surely, 2^122784901250 is an apocalyptic number.

122784901250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122784901250 is an abundant number, since it is smaller than the sum of its proper divisors (151109814229).

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

122784901250 is an equidigital number, since it uses as much as digits as its factorization.

122784901250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 122784901250 in words is "one hundred twenty-two billion, seven hundred eighty-four million, nine hundred one thousand, two hundred fifty".