122913778050 has 270 divisors, whose sum is σ = 397781723097. Its totient is φ = 28058879520.

The previous prime is 122913777991. The next prime is 122913778069. The reversal of 122913778050 is 50877319221.

122913778050 is a `hidden beast` number, since 1 + 229 + 1 + 377 + 8 + 0 + 50 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120455502489 + 2458275561 = 347067^2 + 49581^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247905.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 122913777987 and 122913778005.

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 134 ways as a sum of consecutive naturals, for example, 156179757 + ... + 156180543.

Almost surely, 2^122913778050 is an apocalyptic number.

122913778050 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 122913778050

122913778050 is an abundant number, since it is smaller than the sum of its proper divisors (274867945047).

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

122913778050 is an frugal number, since it uses more digits than its factorization.

122913778050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 122913778050 in words is "one hundred twenty-two billion, nine hundred thirteen million, seven hundred seventy-eight thousand, fifty".