123012320100 has 288 divisors, whose sum is σ = 371901196800. Its totient is φ = 31365734400.

The previous prime is 123012320099. The next prime is 123012320107. The reversal of 123012320100 is 1023210321.

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 123012320100.

It is not an unprimeable number, because it can be changed into a prime (123012320107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236107840 + ... + 236108360.

It is an arithmetic number, because the mean of its divisors is an integer number (1291323600).

Almost surely, 2^123012320100 is an apocalyptic number.

123012320100 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 123012320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185950598400).

123012320100 is an abundant number, since it is smaller than the sum of its proper divisors (248888876700).

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

123012320100 is a wasteful number, since it uses less digits than its factorization.

123012320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 896 counting only the distinct ones).

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

Adding to 123012320100 its reverse (1023210321), we get a palindrome (124035530421).

The spelling of 123012320100 in words is "one hundred twenty-three billion, twelve million, three hundred twenty thousand, one hundred".