214312212241000 has 64 divisors (see below), whose sum is σ = 512160589025280. Its totient is φ = 83900951156800.

The previous prime is 214312212240857. The next prime is 214312212241013. The reversal of 214312212241000 is 142212213412.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2279870152 + ... + 2279964151.

It is an arithmetic number, because the mean of its divisors is an integer number (8002509203520).

Almost surely, 2^{214312212241000} is an apocalyptic number.

214312212241000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214312212241000 is an abundant number, since it is smaller than the sum of its proper divisors (297848376784280).

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

214312212241000 is a wasteful number, since it uses less digits than its factorization.

214312212241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559834371 (or 4559834357 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 214312212241000 its reverse (142212213412), we get a palindrome (214454424454412).

The spelling of 214312212241000 in words is "two hundred fourteen trillion, three hundred twelve billion, two hundred twelve million, two hundred forty-one thousand".