123103761120 has 1152 divisors, whose sum is σ = 485028311040. Its totient is φ = 29378764800.

The previous prime is 123103761107. The next prime is 123103761133. The reversal of 123103761120 is 21167301321.

123103761120 is a `hidden beast` number, since 1 + 2 + 3 + 10 + 37 + 611 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123103761107) and next prime (123103761133).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1218849070 + ... + 1218849170.

It is an arithmetic number, because the mean of its divisors is an integer number (421031520).

Almost surely, 2^123103761120 is an apocalyptic number.

123103761120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123103761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242514155520).

123103761120 is an abundant number, since it is smaller than the sum of its proper divisors (361924549920).

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

123103761120 is a wasteful number, since it uses less digits than its factorization.

123103761120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 123103761120 in words is "one hundred twenty-three billion, one hundred three million, seven hundred sixty-one thousand, one hundred twenty".