212400133000 has 192 divisors, whose sum is σ = 547199452800. Its totient is φ = 77110352000.

The previous prime is 212400132977. The next prime is 212400133019. The reversal of 212400133000 is 331004212.

It is a happy number.

It is a super-2 number, since 2×212400133000² (a number of 23 digits) contains 22 as substring.

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, 107326011 + ... + 107327989.

It is an arithmetic number, because the mean of its divisors is an integer number (2849997150).

Almost surely, 2^212400133000 is an apocalyptic number.

212400133000 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 212400133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273599726400).

212400133000 is an abundant number, since it is smaller than the sum of its proper divisors (334799319800).

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

212400133000 is a wasteful number, since it uses less digits than its factorization.

212400133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 212400133000 its reverse (331004212), we get a palindrome (212731137212).

The spelling of 212400133000 in words is "two hundred twelve billion, four hundred million, one hundred thirty-three thousand".