123514252000000 has 252 divisors, whose sum is σ = 308339521328608. Its totient is φ = 49379904000000.

The previous prime is 123514251999991. The next prime is 123514252000003. The reversal of 123514252000000 is 252415321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (123514252000003) 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 27 ways as a sum of consecutive naturals, for example, 8883993049 + ... + 8884006951.

Almost surely, 2^{123514252000000} is an apocalyptic number.

123514252000000 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 123514252000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154169760664304).

123514252000000 is an abundant number, since it is smaller than the sum of its proper divisors (184825269328608).

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

123514252000000 is an frugal number, since it uses more digits than its factorization.

123514252000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16170 (or 16131 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 123514252000000 in words is "one hundred twenty-three trillion, five hundred fourteen billion, two hundred fifty-two million", and thus it is an aban number.