212400401442400 has 36 divisors (see below), whose sum is σ = 518522480023212. Its totient is φ = 84960160576640.

The previous prime is 212400401442391. The next prime is 212400401442409. The reversal of 212400401442400 is 4244104004212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212400401442391) and next prime (212400401442409).

It is a super-2 number, since 2×212400401442400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212400401442409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132750250102 + ... + 132750251701.

It is an arithmetic number, because the mean of its divisors is an integer number (14403402222867).

Almost surely, 2^{212400401442400} is an apocalyptic number.

212400401442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212400401442400 is an abundant number, since it is smaller than the sum of its proper divisors (306122078580812).

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

212400401442400 is a wasteful number, since it uses less digits than its factorization.

212400401442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265500501823 (or 265500501810 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 212400401442400 its reverse (4244104004212), we get a palindrome (216644505446612).

The spelling of 212400401442400 in words is "two hundred twelve trillion, four hundred billion, four hundred one million, four hundred forty-two thousand, four hundred".