123333131420400 has 120 divisors (see below), whose sum is σ = 430993233846144. Its totient is φ = 29898940947200.

The previous prime is 123333131420393. The next prime is 123333131420413. The reversal of 123333131420400 is 4024131333321.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×123333131420400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4671696324 + ... + 4671722723.

Almost surely, 2^{123333131420400} is an apocalyptic number.

123333131420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123333131420400 is an abundant number, since it is smaller than the sum of its proper divisors (307660102425744).

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

123333131420400 is a wasteful number, since it uses less digits than its factorization.

123333131420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343419079 (or 9343419068 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 123333131420400 its reverse (4024131333321), we get a palindrome (127357262753721).

The spelling of 123333131420400 in words is "one hundred twenty-three trillion, three hundred thirty-three billion, one hundred thirty-one million, four hundred twenty thousand, four hundred".