212123112001300 has 72 divisors (see below), whose sum is σ = 475160163914240. Its totient is φ = 82111413225600.

The previous prime is 212123112001289. The next prime is 212123112001313. The reversal of 212123112001300 is 3100211321212.

It is a super-3 number, since 3×212123112001300³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 429006817 + ... + 429500983.

Almost surely, 2^{212123112001300} is an apocalyptic number.

212123112001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212123112001300 is an abundant number, since it is smaller than the sum of its proper divisors (263037051912940).

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

212123112001300 is a wasteful number, since it uses less digits than its factorization.

212123112001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632681 (or 632674 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 212123112001300 its reverse (3100211321212), we get a palindrome (215223323322512).

The spelling of 212123112001300 in words is "two hundred twelve trillion, one hundred twenty-three billion, one hundred twelve million, one thousand, three hundred".