123751120416 has 384 divisors, whose sum is σ = 432715530240. Its totient is φ = 29994624000.

The previous prime is 123751120393. The next prime is 123751120433. The reversal of 123751120416 is 614021157321.

It is a super-3 number, since 3×123751120416³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9403441 + ... + 9416591.

It is an arithmetic number, because the mean of its divisors is an integer number (1126863360).

Almost surely, 2^123751120416 is an apocalyptic number.

123751120416 is a gapful number since it is divisible by the number (16) 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 123751120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216357765120).

123751120416 is an abundant number, since it is smaller than the sum of its proper divisors (308964409824).

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

123751120416 is a wasteful number, since it uses less digits than its factorization.

123751120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13268 (or 13260 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 123751120416 its reverse (614021157321), we get a palindrome (737772277737).

The spelling of 123751120416 in words is "one hundred twenty-three billion, seven hundred fifty-one million, one hundred twenty thousand, four hundred sixteen".