212133023232000 has 416 divisors, whose sum is σ = 760192018622400. Its totient is φ = 52217354649600.

The previous prime is 212133023231999. The next prime is 212133023232043. The reversal of 212133023232000 is 232320331212.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-4 number, since 4×212133023232000⁴ (a number of 58 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14656176 + ... + 25279824.

It is an arithmetic number, because the mean of its divisors is an integer number (1827384660150).

Almost surely, 2^{212133023232000} is an apocalyptic number.

212133023232000 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 212133023232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380096009311200).

212133023232000 is an abundant number, since it is smaller than the sum of its proper divisors (548058995390400).

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

212133023232000 is a wasteful number, since it uses less digits than its factorization.

212133023232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10623704 (or 10623672 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 212133023232000 its reverse (232320331212), we get a palindrome (212365343563212).

The spelling of 212133023232000 in words is "two hundred twelve trillion, one hundred thirty-three billion, twenty-three million, two hundred thirty-two thousand".