123051251113000 has 512 divisors, whose sum is σ = 352677625896960. Its totient is φ = 39226349260800.

The previous prime is 123051251112967. The next prime is 123051251113069. The reversal of 123051251113000 is 311152150321.

It is a super-2 number, since 2×123051251113000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3239280007 + ... + 3239317993.

It is an arithmetic number, because the mean of its divisors is an integer number (688823488080).

Almost surely, 2^{123051251113000} is an apocalyptic number.

123051251113000 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 123051251113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176338812948480).

123051251113000 is an abundant number, since it is smaller than the sum of its proper divisors (229626374783960).

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

123051251113000 is a wasteful number, since it uses less digits than its factorization.

123051251113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38362 (or 38348 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 123051251113000 in words is "one hundred twenty-three trillion, fifty-one billion, two hundred fifty-one million, one hundred thirteen thousand".