234212132000 has 384 divisors, whose sum is σ = 724655393280. Its totient is φ = 72268800000.

The previous prime is 234212131963. The next prime is 234212132003. The reversal of 234212132000 is 231212432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (234212132003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31104236 + ... + 31111764.

It is an arithmetic number, because the mean of its divisors is an integer number (1887123420).

Almost surely, 2^234212132000 is an apocalyptic number.

234212132000 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 234212132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362327696640).

234212132000 is an abundant number, since it is smaller than the sum of its proper divisors (490443261280).

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

234212132000 is a wasteful number, since it uses less digits than its factorization.

234212132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673 (or 7655 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 234212132000 its reverse (231212432), we get a palindrome (234443344432).

The spelling of 234212132000 in words is "two hundred thirty-four billion, two hundred twelve million, one hundred thirty-two thousand".