212121011200 has 264 divisors, whose sum is σ = 615595849344. Its totient is φ = 70950912000.

The previous prime is 212121011171. The next prime is 212121011227. The reversal of 212121011200 is 2110121212.

It is a super-3 number, since 3×212121011200³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7332765 + ... + 7361635.

Almost surely, 2^212121011200 is an apocalyptic number.

212121011200 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 212121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307797924672).

212121011200 is an abundant number, since it is smaller than the sum of its proper divisors (403474838144).

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

212121011200 is a wasteful number, since it uses less digits than its factorization.

212121011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28949 (or 28926 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212121011200 its reverse (2110121212), we get a palindrome (214231132412).

The spelling of 212121011200 in words is "two hundred twelve billion, one hundred twenty-one million, eleven thousand, two hundred".