233400112000 has 128 divisors (see below), whose sum is σ = 633045235680. Its totient is φ = 84872704000.

The previous prime is 233400111943. The next prime is 233400112003. The reversal of 233400112000 is 211004332.

It is a happy number.

233400112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×233400112000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233400112003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 487069 + ... + 839068.

Almost surely, 2^233400112000 is an apocalyptic number.

233400112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233400112000 is an abundant number, since it is smaller than the sum of its proper divisors (399645123680).

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

233400112000 is a wasteful number, since it uses less digits than its factorization.

233400112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326177 (or 1326155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 233400112000 its reverse (211004332), we get a palindrome (233611116332).

The spelling of 233400112000 in words is "two hundred thirty-three billion, four hundred million, one hundred twelve thousand".