212414242013200 has 60 divisors (see below), whose sum is σ = 510479256813268. Its totient is φ = 84940050124800.

The previous prime is 212414242013131. The next prime is 212414242013219. The reversal of 212414242013200 is 2310242414212.

It can be written as a sum of positive squares in 6 ways, for example, as 1750614779664 + 210663627233536 = 1323108^2 + 14514256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78819021 + ... + 81469420.

Almost surely, 2^{212414242013200} is an apocalyptic number.

212414242013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212414242013200 is an abundant number, since it is smaller than the sum of its proper divisors (298065014800068).

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

212414242013200 is a wasteful number, since it uses less digits than its factorization.

212414242013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160291772 (or 160291761 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 212414242013200 its reverse (2310242414212), we get a palindrome (214724484427412).

The spelling of 212414242013200 in words is "two hundred twelve trillion, four hundred fourteen billion, two hundred forty-two million, thirteen thousand, two hundred".