123261130350 has 144 divisors (see below), whose sum is σ = 343646411472. Its totient is φ = 32848623360.

The previous prime is 123261130339. The next prime is 123261130357. The reversal of 123261130350 is 53031162321.

123261130350 is a `hidden beast` number, since 1 + 23 + 261 + 1 + 30 + 350 = 666.

It is a super-2 number, since 2×123261130350² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123261130357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31989024 + ... + 31992876.

It is an arithmetic number, because the mean of its divisors is an integer number (2386433413).

Almost surely, 2^123261130350 is an apocalyptic number.

123261130350 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 123261130350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171823205736).

123261130350 is an abundant number, since it is smaller than the sum of its proper divisors (220385281122).

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

123261130350 is a wasteful number, since it uses less digits than its factorization.

123261130350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6513 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 123261130350 its reverse (53031162321), we get a palindrome (176292292671).

The spelling of 123261130350 in words is "one hundred twenty-three billion, two hundred sixty-one million, one hundred thirty thousand, three hundred fifty".