123200120010 has 384 divisors, whose sum is σ = 343547043840. Its totient is φ = 28229160960.

The previous prime is 123200119981. The next prime is 123200120027. The reversal of 123200120010 is 10021002321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1196117619 + ... + 1196117721.

It is an arithmetic number, because the mean of its divisors is an integer number (894653760).

Almost surely, 2^123200120010 is an apocalyptic number.

123200120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123200120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171773521920).

123200120010 is an abundant number, since it is smaller than the sum of its proper divisors (220346923830).

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

123200120010 is a wasteful number, since it uses less digits than its factorization.

123200120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 123200120010 its reverse (10021002321), we get a palindrome (133221122331).

The spelling of 123200120010 in words is "one hundred twenty-three billion, two hundred million, one hundred twenty thousand, ten".