213836112000 has 1280 divisors, whose sum is σ = 920780340480. Its totient is φ = 48372940800.

The previous prime is 213836111999. The next prime is 213836112011. The reversal of 213836112000 is 211638312.

It is a happy number.

213836112000 is a `hidden beast` number, since 21 + 3 + 8 + 3 + 611 + 20 + 0 + 0 = 666.

It is a super-3 number, since 3×213836112000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2204495952 + ... + 2204496048.

It is an arithmetic number, because the mean of its divisors is an integer number (719359641).

Almost surely, 2^213836112000 is an apocalyptic number.

213836112000 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 213836112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460390170240).

213836112000 is an abundant number, since it is smaller than the sum of its proper divisors (706944228480).

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

213836112000 is an frugal number, since it uses more digits than its factorization.

213836112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 213836112000 in words is "two hundred thirteen billion, eight hundred thirty-six million, one hundred twelve thousand".