212421401331400 has 96 divisors (see below), whose sum is σ = 498828595058280. Its totient is φ = 84117346560000.

The previous prime is 212421401331383. The next prime is 212421401331427. The reversal of 212421401331400 is 4133104124212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 69141985607556 + 143279415723844 = 8315166^2 + 11969938^2 .

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, 171507142 + ... + 172741258.

Almost surely, 2^{212421401331400} is an apocalyptic number.

212421401331400 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 212421401331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249414297529140).

212421401331400 is an abundant number, since it is smaller than the sum of its proper divisors (286407193726880).

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

212421401331400 is a wasteful number, since it uses less digits than its factorization.

212421401331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242755 (or 1242746 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 212421401331400 its reverse (4133104124212), we get a palindrome (216554505455612).

The spelling of 212421401331400 in words is "two hundred twelve trillion, four hundred twenty-one billion, four hundred one million, three hundred thirty-one thousand, four hundred".