234213011224000 has 112 divisors (see below), whose sum is σ = 580361715063936. Its totient is φ = 93631387776000.

The previous prime is 234213011223959. The next prime is 234213011224007. The reversal of 234213011224000 is 422110312432.

It is a super-2 number, since 2×234213011224000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234213011224007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5520009 + ... + 22335991.

Almost surely, 2^{234213011224000} is an apocalyptic number.

234213011224000 is a gapful number since it is divisible by the number (20) 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 234213011224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290180857531968).

234213011224000 is an abundant number, since it is smaller than the sum of its proper divisors (346148703839936).

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

234213011224000 is a wasteful number, since it uses less digits than its factorization.

234213011224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16817751 (or 16817731 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 234213011224000 its reverse (422110312432), we get a palindrome (234635121536432).

The spelling of 234213011224000 in words is "two hundred thirty-four trillion, two hundred thirteen billion, eleven million, two hundred twenty-four thousand".