212454322400000 has 216 divisors, whose sum is σ = 537530346043488. Its totient is φ = 83784780800000.

The previous prime is 212454322399973. The next prime is 212454322400027. The reversal of 212454322400000 is 4223454212.

It is an interprime number because it is at equal distance from previous prime (212454322399973) and next prime (212454322400027).

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, 54929804 + ... + 58670196.

It is an arithmetic number, because the mean of its divisors is an integer number (2488566416868).

Almost surely, 2^{212454322400000} is an apocalyptic number.

212454322400000 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 212454322400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268765173021744).

212454322400000 is an abundant number, since it is smaller than the sum of its proper divisors (325076023643488).

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

212454322400000 is an frugal number, since it uses more digits than its factorization.

212454322400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740505 (or 3740471 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 212454322400000 its reverse (4223454212), we get a palindrome (212458545854212).

The spelling of 212454322400000 in words is "two hundred twelve trillion, four hundred fifty-four billion, three hundred twenty-two million, four hundred thousand".