212250500904000 has 1792 divisors, whose sum is σ = 795766005006336. Its totient is φ = 49458511872000.

The previous prime is 212250500903989. The next prime is 212250500904007. The reversal of 212250500904000 is 409005052212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (212250500904007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 458424407769 + ... + 458424408231.

It is an arithmetic number, because the mean of its divisors is an integer number (444065851008).

Almost surely, 2^{212250500904000} is an apocalyptic number.

212250500904000 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 212250500904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397883002503168).

212250500904000 is an abundant number, since it is smaller than the sum of its proper divisors (583515504102336).

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

212250500904000 is a wasteful number, since it uses less digits than its factorization.

212250500904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 212250500904000 its reverse (409005052212), we get a palindrome (212659505956212).

The spelling of 212250500904000 in words is "two hundred twelve trillion, two hundred fifty billion, five hundred million, nine hundred four thousand".