212222410400 has 1296 divisors, whose sum is σ = 757876930272. Its totient is φ = 57028608000.

The previous prime is 212222410381. The next prime is 212222410427. The reversal of 212222410400 is 4014222212.

212222410400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1620018335 + ... + 1620018465.

It is an arithmetic number, because the mean of its divisors is an integer number (584781582).

Almost surely, 2^212222410400 is an apocalyptic number.

212222410400 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 212222410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378938465136).

212222410400 is an abundant number, since it is smaller than the sum of its proper divisors (545654519872).

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

212222410400 is a wasteful number, since it uses less digits than its factorization.

212222410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 212222410400 its reverse (4014222212), we get a palindrome (216236632612).

The spelling of 212222410400 in words is "two hundred twelve billion, two hundred twenty-two million, four hundred ten thousand, four hundred".