212113332000 has 288 divisors, whose sum is σ = 760256615664. Its totient is φ = 56002560000.

The previous prime is 212113331993. The next prime is 212113332017. The reversal of 212113332000 is 233311212.

212113332000 is a `hidden beast` number, since 212 + 1 + 133 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 109002984336 + 103110347664 = 330156^2 + 321108^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×212113332000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3606832 + ... + 3665168.

Almost surely, 2^212113332000 is an apocalyptic number.

212113332000 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 212113332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380128307832).

212113332000 is an abundant number, since it is smaller than the sum of its proper divisors (548143283664).

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

212113332000 is a wasteful number, since it uses less digits than its factorization.

212113332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58469 (or 58448 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212113332000 its reverse (233311212), we get a palindrome (212346643212).

The spelling of 212113332000 in words is "two hundred twelve billion, one hundred thirteen million, three hundred thirty-two thousand".