213124412400 has 480 divisors, whose sum is σ = 733258068480. Its totient is φ = 52783104000.

The previous prime is 213124412399. The next prime is 213124412429. The reversal of 213124412400 is 4214421312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374559316 + ... + 374559884.

It is an arithmetic number, because the mean of its divisors is an integer number (1527620976).

Almost surely, 2^213124412400 is an apocalyptic number.

213124412400 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 213124412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366629034240).

213124412400 is an abundant number, since it is smaller than the sum of its proper divisors (520133656080).

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

213124412400 is a wasteful number, since it uses less digits than its factorization.

213124412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 213124412400 its reverse (4214421312), we get a palindrome (217338833712).

The spelling of 213124412400 in words is "two hundred thirteen billion, one hundred twenty-four million, four hundred twelve thousand, four hundred".