212210121200 has 240 divisors, whose sum is σ = 648615033600. Its totient is φ = 66142944000.

The previous prime is 212210121173. The next prime is 212210121239. The reversal of 212210121200 is 2121012212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438895 + ... + 1579505.

It is an arithmetic number, because the mean of its divisors is an integer number (2702562640).

Almost surely, 2^212210121200 is an apocalyptic number.

212210121200 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 212210121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324307516800).

212210121200 is an abundant number, since it is smaller than the sum of its proper divisors (436404912400).

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

212210121200 is a wasteful number, since it uses less digits than its factorization.

212210121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140661 (or 140636 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212210121200 its reverse (2121012212), we get a palindrome (214331133412).

It can be divided in two parts, 21221012 and 1200, that added together give a palindrome (21222212).

The spelling of 212210121200 in words is "two hundred twelve billion, two hundred ten million, one hundred twenty-one thousand, two hundred".