123205401005200 has 60 divisors (see below), whose sum is σ = 296040360680820. Its totient is φ = 49275603105280.

The previous prime is 123205401005149. The next prime is 123205401005213. The reversal of 123205401005200 is 2500104502321.

It can be written as a sum of positive squares in 6 ways, for example, as 31895102464 + 123173505902736 = 178592^2 + 11098356^2 .

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

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, 17480995 + ... + 23494594.

It is an arithmetic number, because the mean of its divisors is an integer number (4934006011347).

Almost surely, 2^{123205401005200} is an apocalyptic number.

123205401005200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123205401005200 is an abundant number, since it is smaller than the sum of its proper divisors (172834959675620).

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

123205401005200 is a wasteful number, since it uses less digits than its factorization.

123205401005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40983124 (or 40983113 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 123205401005200 its reverse (2500104502321), we get a palindrome (125705505507521).

The spelling of 123205401005200 in words is "one hundred twenty-three trillion, two hundred five billion, four hundred one million, five thousand, two hundred".