123010123200 has 336 divisors, whose sum is σ = 431748553824. Its totient is φ = 30552883200.

The previous prime is 123010123141. The next prime is 123010123231. The reversal of 123010123200 is 2321010321.

It is a super-3 number, since 3×123010123200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123010123200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7907430 + ... + 7922970.

It is an arithmetic number, because the mean of its divisors is an integer number (1284965934).

Almost surely, 2^123010123200 is an apocalyptic number.

123010123200 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 123010123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215874276912).

123010123200 is an abundant number, since it is smaller than the sum of its proper divisors (308738430624).

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

123010123200 is a wasteful number, since it uses less digits than its factorization.

123010123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15680 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123010123200 its reverse (2321010321), we get a palindrome (125331133521).

The spelling of 123010123200 in words is "one hundred twenty-three billion, ten million, one hundred twenty-three thousand, two hundred".