212400133000000 has 588 divisors, whose sum is σ = 580040072267040. Its totient is φ = 77110352000000.

The previous prime is 212400132999991. The next prime is 212400133000057. The reversal of 212400133000000 is 331004212.

It is a happy number.

It is a super-2 number, since 2×212400133000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 107326999011 + ... + 107327000989.

Almost surely, 2^{212400133000000} is an apocalyptic number.

212400133000000 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 212400133000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290020036133520).

212400133000000 is an abundant number, since it is smaller than the sum of its proper divisors (367639939267040).

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

212400133000000 is an frugal number, since it uses more digits than its factorization.

212400133000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2884 counting only the distinct ones).

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

Adding to 212400133000000 its reverse (331004212), we get a palindrome (212400464004212).

The spelling of 212400133000000 in words is "two hundred twelve trillion, four hundred billion, one hundred thirty-three million", and thus it is an aban number.