123525114880 has 352 divisors, whose sum is σ = 318667789440. Its totient is φ = 45856849920.

The previous prime is 123525114803. The next prime is 123525114883. The reversal of 123525114880 is 88411525321.

It is a super-2 number, since 2×123525114880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (123525114883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627030942 + ... + 627031138.

It is an arithmetic number, because the mean of its divisors is an integer number (905306220).

Almost surely, 2^123525114880 is an apocalyptic number.

123525114880 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 123525114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159333894720).

123525114880 is an abundant number, since it is smaller than the sum of its proper divisors (195142674560).

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

123525114880 is a wasteful number, since it uses less digits than its factorization.

123525114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 123525114880 in words is "one hundred twenty-three billion, five hundred twenty-five million, one hundred fourteen thousand, eight hundred eighty".