212122040200 has 192 divisors, whose sum is σ = 596928936960. Its totient is φ = 68526501120.

The previous prime is 212122040189. The next prime is 212122040213. The reversal of 212122040200 is 2040221212.

It is a super-2 number, since 2×212122040200² (a number of 23 digits) contains 22 as substring.

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, 2108239 + ... + 2206561.

It is an arithmetic number, because the mean of its divisors is an integer number (3109004880).

Almost surely, 2^212122040200 is an apocalyptic number.

212122040200 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 212122040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298464468480).

212122040200 is an abundant number, since it is smaller than the sum of its proper divisors (384806896760).

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

212122040200 is a wasteful number, since it uses less digits than its factorization.

212122040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98436 (or 98427 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212122040200 its reverse (2040221212), we get a palindrome (214162261412).

The spelling of 212122040200 in words is "two hundred twelve billion, one hundred twenty-two million, forty thousand, two hundred".