212100121200000 has 1536 divisors, whose sum is σ = 809665488092160. Its totient is φ = 48688640000000.

The previous prime is 212100121199947. The next prime is 212100121200029. The reversal of 212100121200000 is 2121001212.

It is a super-2 number, since 2×212100121200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30663596542 + ... + 30663603458.

It is an arithmetic number, because the mean of its divisors is an integer number (527125968810).

Almost surely, 2^{212100121200000} is an apocalyptic number.

212100121200000 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 212100121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404832744046080).

212100121200000 is an abundant number, since it is smaller than the sum of its proper divisors (597565366892160).

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

212100121200000 is a wasteful number, since it uses less digits than its factorization.

212100121200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 7062 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212100121200000 its reverse (2121001212), we get a palindrome (212102242201212).

212100121200000 divided by its reverse (2121001212) gives a 5-th power (100000 = 10⁵).

The spelling of 212100121200000 in words is "two hundred twelve trillion, one hundred billion, one hundred twenty-one million, two hundred thousand".