123300201440400 has 60 divisors (see below), whose sum is σ = 394971645284592. Its totient is φ = 32880053717120.

The previous prime is 123300201440399. The next prime is 123300201440503. The reversal of 123300201440400 is 4044102003321.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×123300201440400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 51375082734 + ... + 51375085133.

Almost surely, 2^{123300201440400} is an apocalyptic number.

123300201440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123300201440400 is an abundant number, since it is smaller than the sum of its proper divisors (271671443844192).

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

123300201440400 is a wasteful number, since it uses less digits than its factorization.

123300201440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102750167888 (or 102750167877 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 123300201440400 its reverse (4044102003321), we get a palindrome (127344303443721).

The spelling of 123300201440400 in words is "one hundred twenty-three trillion, three hundred billion, two hundred one million, four hundred forty thousand, four hundred".