123012102400 has 108 divisors (see below), whose sum is σ = 332153834544. Its totient is φ = 44731648000.

The previous prime is 123012102383. The next prime is 123012102431. The reversal of 123012102400 is 4201210321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 803266 + ... + 944065.

It is an arithmetic number, because the mean of its divisors is an integer number (3075498468).

Almost surely, 2^123012102400 is an apocalyptic number.

123012102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123012102400 is an abundant number, since it is smaller than the sum of its proper divisors (209141732144).

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

123012102400 is a wasteful number, since it uses less digits than its factorization.

123012102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747368 (or 1747349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 123012102400 its reverse (4201210321), we get a palindrome (127213312721).

The spelling of 123012102400 in words is "one hundred twenty-three billion, twelve million, one hundred two thousand, four hundred".