212200133014320 has 160 divisors (see below), whose sum is σ = 717727444289280. Its totient is φ = 51434916971520.

The previous prime is 212200133014271. The next prime is 212200133014349. The reversal of 212200133014320 is 23410331002212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12136446 + ... + 23910114.

It is an arithmetic number, because the mean of its divisors is an integer number (4485796526808).

Almost surely, 2^{212200133014320} is an apocalyptic number.

212200133014320 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 212200133014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358863722144640).

212200133014320 is an abundant number, since it is smaller than the sum of its proper divisors (505527311274960).

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

212200133014320 is a wasteful number, since it uses less digits than its factorization.

212200133014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11780523 (or 11780517 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212200133014320 its reverse (23410331002212), we get a palindrome (235610464016532).

The spelling of 212200133014320 in words is "two hundred twelve trillion, two hundred billion, one hundred thirty-three million, fourteen thousand, three hundred twenty".