212434400000 has 108 divisors (see below), whose sum is σ = 530016795504. Its totient is φ = 84973440000.

The previous prime is 212434399987. The next prime is 212434400021. The reversal of 212434400000 is 4434212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667229 + ... + 932771.

Almost surely, 2^212434400000 is an apocalyptic number.

212434400000 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 212434400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265008397752).

212434400000 is an abundant number, since it is smaller than the sum of its proper divisors (317582395504).

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

212434400000 is an frugal number, since it uses more digits than its factorization.

212434400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265584 (or 265550 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 212434400000 its reverse (4434212), we get a palindrome (212438834212).

The spelling of 212434400000 in words is "two hundred twelve billion, four hundred thirty-four million, four hundred thousand".