123333412221400 has 96 divisors (see below), whose sum is σ = 294063742778400. Its totient is φ = 48077736883200.

The previous prime is 123333412221379. The next prime is 123333412221419. The reversal of 123333412221400 is 4122214333321.

123333412221400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123333412221400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647367 + ... + 15718966.

It is an arithmetic number, because the mean of its divisors is an integer number (3063163987275).

Almost surely, 2^{123333412221400} is an apocalyptic number.

123333412221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123333412221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147031871389200).

123333412221400 is an abundant number, since it is smaller than the sum of its proper divisors (170730330557000).

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

123333412221400 is a wasteful number, since it uses less digits than its factorization.

123333412221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16367309 (or 16367300 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 123333412221400 its reverse (4122214333321), we get a palindrome (127455626554721).

The spelling of 123333412221400 in words is "one hundred twenty-three trillion, three hundred thirty-three billion, four hundred twelve million, two hundred twenty-one thousand, four hundred".